메뉴 건너뛰기




Volumn 15, Issue 4, 2005, Pages 607-639

Intrinsic capacities on compact Kähler manifolds

Author keywords

capacity; extremal functions; Kahler manifolds; Quasiplurisubharmonic functions

Indexed keywords


EID: 33645016282     PISSN: 10506926     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02922247     Document Type: Article
Times cited : (251)

References (40)
  • 1
    • 0001876378 scopus 로고
    • Projective capacity. Recent developments in several complex variables, (Proc. Conf., Princeton Univ., 1979)
    • Princeton University Press Princeton, N.J.
    • Alexander, H. Projective capacity. Recent developments in several complex variables, (Proc. Conf., Princeton Univ., 1979), 3-27,Ann. of Math. Stud. 100, Princeton University Press, Princeton, N.J. (1981).
    • (1981) Ann. of Math. Stud. , pp. 3-27
    • Alexander, H.1
  • 2
    • 0000818656 scopus 로고
    • n
    • 10.1007/BF01174894 744831 0576.32029
    • n Math. Z. 186 3 407 417 10.1007/BF01174894 744831 0576.32029
    • (1984) Math. Z. , vol.186 , Issue.3 , pp. 407-417
    • Alexander, H.1    Taylor, B.A.2
  • 3
    • 0001921544 scopus 로고
    • Survey of pluri-potential theory. Several complex variables, (Stockholm, 1987/1988)
    • Princeton University Press Princeton, NJ
    • Bedford, E. Survey of pluri-potential theory. Several complex variables, (Stockholm, 1987/1988), 48-97,Math. Notes 38, Princeton University Press, Princeton, NJ, (1993).
    • (1993) Math. Notes , pp. 48-97
    • Bedford, E.1
  • 4
    • 33646029561 scopus 로고
    • The Dirichlet problem for a complex Monge-Ampère equation
    • 10.1007/BF01418826 445006 0315.31007
    • E. Bedford B. A. Taylor 1976 The Dirichlet problem for a complex Monge-Ampère equation Invent. Math. 37 1 1 44 10.1007/BF01418826 445006 0315.31007
    • (1976) Invent. Math. , vol.37 , Issue.1 , pp. 1-44
    • Bedford, E.1    Taylor, B.A.2
  • 5
    • 0001927566 scopus 로고
    • A new capacity for plurisubharmonic functions
    • 10.1007/BF02392348 674165 0547.32012
    • E. Bedford B. A. Taylor 1982 A new capacity for plurisubharmonic functions Acta Math. 149 1-2 1 40 10.1007/BF02392348 674165 0547.32012
    • (1982) Acta Math. , vol.149 , Issue.12 , pp. 1-40
    • Bedford, E.1    Taylor, B.A.2
  • 6
    • 84867985256 scopus 로고
    • An estimate of the complex Monge-Ampère operator,Analytic Functions, Bazejewko, 1982, (Baze-jewko, 1982)
    • Springer Berlin
    • Cegrell, U. An estimate of the complex Monge-Ampère operator,Analytic Functions, Bazejewko, 1982, (Baze-jewko, 1982),Lecture Notes in Math. 1039, Springer, Berlin, 84-87, (1983).
    • (1983) Lecture Notes in Math. , pp. 84-87
    • Cegrell, U.1
  • 7
    • 0009086421 scopus 로고
    • Capacities in complex analysis
    • Vieweg and Sohn Braunschweig
    • Cegrell, U. Capacities in complex analysis,Aspects of Mathematics, E14. Friedr. Vieweg and Sohn, Braunschweig, (1988).
    • (1988) Aspects of Mathematics, E14. Friedr
    • Cegrell, U.1
  • 9
    • 0037621747 scopus 로고    scopus 로고
    • Capacity theory and arithmetic intersection theory
    • 10.1215/S0012-7094-03-11722-6 1971294 1026.11056
    • T. Chinburg C. F. Lau R. Rumely 2003 Capacity theory and arithmetic intersection theory Duke Math. J. 117 2 229 285 10.1215/S0012-7094-03-11722-6 1971294 1026.11056
    • (2003) Duke Math. J. , vol.117 , Issue.2 , pp. 229-285
    • Chinburg, T.1    Lau, C.F.2    Rumely, R.3
  • 10
    • 0001197344 scopus 로고
    • 2 pour l'opérateur d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète
    • 690650 0507.32021
    • 2 pour l'opérateurd'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète Ann. Sci. E.N.S. (4) 15 3 457 511 690650 0507.32021
    • (1982) Ann. Sci. E.N.S. (4) , vol.15 , Issue.3 , pp. 457-511
    • Demailly, J.-P.1
  • 11
    • 0001947888 scopus 로고
    • Mesures de Monge-Ampère et caractérisation géométrique des variétés algébriques affines
    • 813252
    • J.-P. Demailly 1985 Mesures de Monge-Ampère et caractérisation géométrique des variétés algébriques affines Mém. Soc. Math. France (N.S.) 19 124 124 813252
    • (1985) Mém. Soc. Math. France (N.S.) , vol.19 , pp. 124-124
    • Demailly, J.-P.1
  • 12
    • 0000820504 scopus 로고
    • Regularization of closed positive currents and intersection theory
    • 1158622 0777.32016
    • J.-P. Demailly 1992 Regularization of closed positive currents and intersection theory J. Algebraic Geom. 1 3 361 409 1158622 0777.32016
    • (1992) J. Algebraic Geom. , vol.1 , Issue.3 , pp. 361-409
    • Demailly, J.-P.1
  • 13
    • 0012629412 scopus 로고    scopus 로고
    • 2 et résultats effectifs en géométrie algébrique, Séminaire Bourbaki, 1998/99
    • 1772670
    • 2 et résultats effectifs en géométrie algébrique, Séminaire Bourbaki, 1998/99 Astérisque 266 59 90 1772670
    • (2000) Astérisque , vol.266 , pp. 59-90
    • Demailly, J.-P.1
  • 14
    • 27944471761 scopus 로고    scopus 로고
    • 2 extension theorem,Complex Analysis and Geometry, (Paris, 1997)
    • Birkhäuser Basel
    • 2 extension theorem,Complex Analysis and Geometry, (Paris, 1997), 47-82, Progr. Math., 188, Birkhäuser, Basel, (2000).
    • (2000) Progr. Math. , pp. 47-82
    • Demailly, J.-P.1
  • 16
    • 0035535802 scopus 로고    scopus 로고
    • Pseudo-effective line bundles on compact Kähler manifolds
    • 10.1142/S0129167X01000861 1875649 1111.32302
    • J.-P. Demailly T. Peternell M. Schneider 2001 Pseudo-effective line bundles on compact Kähler manifolds Internat. J. Math. 12 6 689 741 10.1142/S0129167X01000861 1875649 1111.32302
    • (2001) Internat. J. Math. , vol.12 , Issue.6 , pp. 689-741
    • Demailly, J.-P.1    Peternell, T.2    Schneider, M.3
  • 17
    • 2642561748 scopus 로고    scopus 로고
    • Dynamique des applications d'allure polynomiale
    • 1992375 1033.37023
    • T.-C. Dinh N. Sibony 2003 Dynamique des applications d'allure polynomiale J. Math. Pures Appl. (9) 82 4 367 423 1992375 1033.37023
    • (2003) J. Math. Pures Appl. (9) , vol.82 , Issue.4 , pp. 367-423
    • Dinh, T.-C.1    Sibony, N.2
  • 19
    • 0037847141 scopus 로고
    • Fonctions plurisousharmoniques et ensembles polaires, Séminaire Pierre Lelong-Henri Skoda (Analyse). Années 1978/79
    • Springer Berlin
    • El, H. Fonctions plurisousharmoniques et ensembles polaires, Séminaire Pierre Lelong-Henri Skoda (Analyse). Années 1978/79,Lecture Notes in Math. 822, Springer, Berlin, 61-76, (1980).
    • (1980) Lecture Notes in Math. , pp. 61-76
    • El, H.1
  • 20
    • 1342326308 scopus 로고    scopus 로고
    • Brolin's theorem for curves in two complex dimensions
    • 2032940 1113.32005
    • C. Favre M. Jonsson 2003 Brolin's theorem for curves in two complex dimensions Ann. Inst. Fourier (Grenoble) 53 5 1461 1501 2032940 1113.32005
    • (2003) Ann. Inst. Fourier (Grenoble) , vol.53 , Issue.5 , pp. 1461-1501
    • Favre, C.1    Jonsson, M.2
  • 21
    • 0033419919 scopus 로고    scopus 로고
    • Approximation of currents on complex manifolds
    • 10.1007/s002080050269 1678537 0924.32014
    • V. Guedj 1999 Approximation of currents on complex manifolds Math. Ann. 313 3 437 474 10.1007/s002080050269 1678537 0924.32014
    • (1999) Math. Ann. , vol.313 , Issue.3 , pp. 437-474
    • Guedj, V.1
  • 22
    • 2342455800 scopus 로고    scopus 로고
    • Equidistribution towards the Green Current
    • 2017143 1070.37026
    • V. Guedj 2003 Equidistribution towards the Green Current Bulletin S.M.F. 131 359 372 2017143 1070.37026
    • (2003) Bulletin S.M.F. , vol.131 , pp. 359-372
    • Guedj, V.1
  • 23
    • 27844480982 scopus 로고    scopus 로고
    • Ergodic properties of rational mappings with large topological degree
    • 2179389 1088.37020 10.4007/annals.2005.161.1589
    • V. Guedj 2005 Ergodic properties of rational mappings with large topological degree Anal. Math. 161 3 1589 1607 2179389 1088.37020 10.4007/annals.2005.161.1589
    • (2005) Anal. Math. , vol.161 , Issue.3 , pp. 1589-1607
    • Guedj, V.1
  • 25
    • 84868000401 scopus 로고
    • Subvarieties of homogeneous and almost homogeneous manifolds, contributions to complex analysis and analytic geometry
    • Vieweg Braunschweig
    • Huckleberry, A. Subvarieties of homogeneous and almost homogeneous manifolds, contributions to complex analysis and analytic geometry,Aspects Math. E26, 189-232, Vieweg, Braunschweig, (1994).
    • (1994) Aspects Math. , pp. 189-232
    • Huckleberry, A.1
  • 27
    • 0003292776 scopus 로고
    • Pluripotential Theory
    • Oxford University Press New York
    • Klimek, M.Pluripotential Theory, London Mathematical Society Monographs, New Series, 6, Oxford University Press, New York, (1991).
    • (1991) London Mathematical Society Monographs
    • Klimek, M.1
  • 28
    • 17644433253 scopus 로고    scopus 로고
    • The complex Monge-Ampère equation
    • 10.1007/BF02392879 1618325 0913.35043
    • S. Kolodziej 1998 The complex Monge-Ampère equation Acta Math. 180 1 69 117 10.1007/BF02392879 1618325 0913.35043
    • (1998) Acta Math. , vol.180 , Issue.1 , pp. 69-117
    • Kolodziej, S.1
  • 30
    • 0038180025 scopus 로고    scopus 로고
    • Existence of the sectional capacity
    • 1677934
    • C. F. Lau R. Rumely R. Varley 2000 Existence of the sectional capacity Mem. Amer. Math. Soc. 145 690 viii 130 1677934
    • (2000) Mem. Amer. Math. Soc. , vol.145 , Issue.690 , pp. 130
    • Lau, C.F.1    Rumely, R.2    Varley, R.3
  • 31
    • 84867986164 scopus 로고
    • Capacity, Tchebycheff constant, and transfinite hyperdiameter on complex projective space
    • May Lecture Notes in Math. 919, Springer-Verlag
    • Molzon, R. and Shiffman, B. Capacity, Tchebycheff constant, and transfinite hyperdiameter on complex projective space, Seminar Pierre Lelong-Henri Skoda, (Analysis), 1980/1981, and Colloquium at Wimereux, May 1981, 337-357,Lecture Notes in Math. 919, Springer-Verlag, (1982).
    • (1981) Seminar Pierre Lelong-Henri Skoda, (Analysis), 1980/1981, and Colloquium at Wimereux , pp. 337-357
    • Molzon, R.1    Shiffman, B.2
  • 32
    • 0009322132 scopus 로고
    • Average growth estimates for hyperplane sections of entire analytic sets
    • 10.1007/BF01450654 630646 0537.32009
    • R. Molzon B. Shiffman N. Sibony 1981 Average growth estimates for hyperplane sections of entire analytic sets Math. Ann. 257 1 43 59 10.1007/BF01450654 630646 0537.32009
    • (1981) Math. Ann. , vol.257 , Issue.1 , pp. 43-59
    • Molzon, R.1    Shiffman, B.2    Sibony, N.3
  • 33
    • 0001858943 scopus 로고    scopus 로고
    • k
    • Lyon Panor. Synthèses Soc. Math. France, Paris, 97-185, (1999)
    • k, inDynamique et Géométrie Complexes, (Lyon, 1997),Panor. Synthèses Soc. Math. France, Paris, 97-185, (1999).
    • (1997) Dynamique et Géométrie Complexes
    • Sibony, N.1
  • 34
    • 0000697561 scopus 로고
    • Some remarks on the Casorati-Weierstrass theorem
    • 617458 0476.32005
    • N. Sibony P. M. Wong 1981 Some remarks on the Casorati-Weierstrass theorem Ann. Polon. Math. 39 165 174 617458 0476.32005
    • (1981) Ann. Polon. Math. , vol.39 , pp. 165-174
    • Sibony, N.1    Wong, P.M.2
  • 35
    • 0040004554 scopus 로고
    • On some extremal functions and their applications in the theory of analytic functions of several complex variables
    • 10.2307/1993631 143946 0111.08102
    • J. Siciak 1962 On some extremal functions and their applications in the theory of analytic functions of several complex variables Trans. Amer. Math. Soc. 105 322 357 10.2307/1993631 143946 0111.08102
    • (1962) Trans. Amer. Math. Soc. , vol.105 , pp. 322-357
    • Siciak, J.1
  • 36
    • 0013308202 scopus 로고
    • Sophia Univ. Tokyo 0579.32025
    • n, Sophia Univ., Tokyo (1982).
    • (1982) N
    • Siciak, J.1
  • 37
    • 0042065895 scopus 로고    scopus 로고
    • Canonical metrics in Kähler geometry
    • Birkhäuser, Verlag Basel
    • Tian, G. Canonical metrics in Kähler geometry,Lect. Mat. ETH Zürich. Birkhäuser, Verlag, Basel, vi-101, (2000).
    • (2000) Lect. Mat. ETH Zürich , pp. 101
    • Tian, G.1
  • 38
    • 0040151048 scopus 로고
    • Extremal plurisubharmonic functions, orthogonal polynomials and Berstein-Walsh theorem for analytic functions of several variables
    • 444988
    • V. P. Zaharjuta 1976 Extremal plurisubharmonic functions, orthogonal polynomials and Berstein-Walsh theorem for analytic functions of several variables Ann. Polon. Math. 33 137 148 444988
    • (1976) Ann. Polon. Math. , vol.33 , pp. 137-148
    • Zaharjuta, V.P.1
  • 39
    • 0039028709 scopus 로고    scopus 로고
    • A criterion of algebraicity for Lelong classes and analytic sets
    • 10.1007/BF02392783 1756571 1016.32015
    • A. Zeriahi 2000 A criterion of algebraicity for Lelong classes and analytic sets Acta Math. 184 1 113 143 10.1007/BF02392783 1756571 1016.32015
    • (2000) Acta Math. , vol.184 , Issue.1 , pp. 113-143
    • Zeriahi, A.1
  • 40
    • 0038523481 scopus 로고    scopus 로고
    • Volume and capacity of sublevel sets of a Lelong class of plurisubharmonic functions
    • 10.1512/iumj.2001.50.2062 1857051 1138.31302
    • A. Zeriahi 2001 Volume and capacity of sublevel sets of a Lelong class of plurisubharmonic functions Indiana Univ. Math. J. 50 1 671 703 10.1512/iumj.2001.50.2062 1857051 1138.31302
    • (2001) Indiana Univ. Math. J. , vol.50 , Issue.1 , pp. 671-703
    • Zeriahi, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.