메뉴 건너뛰기




Volumn 355, Issue 11, 2003, Pages 4397-4426

Sheaf cohomology and free resolutions over exterior algebras

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0242382085     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-03-03291-4     Document Type: Article
Times cited : (127)

References (49)
  • 1
    • 0042750574 scopus 로고
    • Schur functors and Schur complexes
    • [ABW]. MR 84c:20021
    • [ABW] K. Akin, D. A. Buchsbaum, and J. Weyman: Schur functors and Schur complexes. Adv. in Math. 44 (1982) 207-278. MR 84c:20021
    • (1982) Adv. in Math. , vol.44 , pp. 207-278
    • Akin, K.1    Buchsbaum, D.A.2    Weyman, J.3
  • 2
    • 0002420247 scopus 로고
    • An introduction to the derived categories and the theorem of Beilinson. Atti Accademia Peloritana dei Pericolanti
    • [AO]. MR 92g:14013
    • [AO] V. Ancona and G. Ottaviani: An introduction to the derived categories and the theorem of Beilinson. Atti Accademia Peloritana dei Pericolanti, Classe I de Scienze Fis. Mat. et Nat. LXVII (1989) 99-110. MR 92g:14013
    • (1989) Classe I de Scienze Fis. Mat. et Nat. , vol.67 , pp. 99-110
    • Ancona, V.1    Ottaviani, G.2
  • 3
    • 22844454237 scopus 로고    scopus 로고
    • Resolutions of monomial ideals and cohomology over exterior algebras
    • [AAH]. MR 2000c:13021
    • [AAH] A. Aramova, L. A. Avramov, J. Herzog: Resolutions of monomial ideals and cohomology over exterior algebras. Trans. Amer. Math. Soc. 352 (2000) 579-594. MR 2000c:13021
    • (2000) Trans. Amer. Math. Soc. , vol.352 , pp. 579-594
    • Aramova, A.1    Avramov, L.A.2    Herzog, J.3
  • 4
    • 34250301396 scopus 로고
    • Moduli of vector bundles on the projective plane
    • [Bar]. MR 57:324
    • [Bar] W. Barth: Moduli of vector bundles on the projective plane. Invent. Math. 42 (1977) 63-91. MR 57:324
    • (1977) Invent. Math. , vol.42 , pp. 63-91
    • Barth, W.1
  • 5
    • 34250282861 scopus 로고
    • n and problems of linear algebra
    • [Bei]
    • n and problems of linear algebra. Funct. Anal. and its Appl. 12 (1978) 214-216. (Trans. from Funkz. Anal. i. Ego Priloz. 12 (1978) 68-69.) MR 80c:14010b
    • (1978) Funct. Anal. and Its Appl. , vol.12 , pp. 214-216
    • Beilinson, A.1
  • 6
    • 34250282861 scopus 로고
    • MR 80c:14010b
    • n and problems of linear algebra. Funct. Anal. and its Appl. 12 (1978) 214-216. (Trans. from Funkz. Anal. i. Ego Priloz. 12 (1978) 68-69.) MR 80c:14010b
    • (1978) Funkz. Anal. i. Ego Priloz. , vol.12 , pp. 68-69
  • 8
    • 3242701167 scopus 로고
    • MR 80c:14010a
    • n and problems of linear algebra. Funct. Anal. and its Appl. 12 (1978) 212-214. (Trans. from Funkz. Anal. i. Ego Priloz 12 (1978) 66-67.) MR 80c:14010a
    • (1978) Funkz. Anal. i. Ego Priloz , vol.12 , pp. 66-67
  • 9
    • 0000527547 scopus 로고
    • Generic free resolutions and a family of generically perfect ideals
    • [BE]. MR 53:391
    • [BE] D. A. Buchsbaum and D. Eisenbud: Generic free resolutions and a family of generically perfect ideals. Adv. Math. 18 (1975) 245-301. MR 53:391
    • (1975) Adv. Math. , vol.18 , pp. 245-301
    • Buchsbaum, D.A.1    Eisenbud, D.2
  • 10
    • 3242693621 scopus 로고
    • Appendix to Cohen-Macaulay modules on quadrics, by R.-O. Buchweitz, D. Eisenbud, and J. Herzog
    • [Buc1]. In Singularities, Representation of Algebras, and Vector Bundles (Lambrecht, 1985). MR 88h:14001
    • [Buc1] R.-O. Buchweitz: Appendix to Cohen-Macaulay modules on quadrics, by R.-O. Buchweitz, D. Eisenbud, and J. Herzog. In Singularities, representation of algebras, and vector bundles (Lambrecht, 1985), Springer-Verlag Lecture Notes in Math. 1273 (1987) 96-116. MR 88h:14001
    • (1987) Springer-Verlag Lecture Notes in Math. , vol.1273 , pp. 96-116
    • Buchweitz, R.-O.1
  • 13
    • 0242333409 scopus 로고
    • On the uniqueness of the Horrocks-Mumford bundle
    • [DS1]. MR 87d:14009
    • [DS1] W. Decker and F.-O. Schreyer: On the uniqueness of the Horrocks-Mumford bundle. Math. Ann. 273 (1986) 415-443. MR 87d:14009
    • (1986) Math. Ann. , vol.273 , pp. 415-443
    • Decker, W.1    Schreyer, F.-O.2
  • 14
    • 0034178707 scopus 로고    scopus 로고
    • 4: Some remarks on bounds and constructions
    • [DS2]. MR 2002a:14064
    • 4: Some remarks on bounds and constructions. J. Symbolic Comp. 29 (2000), 545-582. MR 2002a:14064
    • (2000) J. Symbolic Comp. , vol.29 , pp. 545-582
    • Decker, W.1    Schreyer, F.-O.2
  • 15
    • 0242333407 scopus 로고
    • 2 = 4
    • [Dec]. MR 87j:14017
    • 2 = 4. Math. Ann. 275 (1986) 481-500. MR 87j:14017
    • (1986) Math. Ann. , vol.275 , pp. 481-500
    • Decker, W.1
  • 17
    • 0002080418 scopus 로고
    • Linear free resolutions and minimal multiplicity
    • [EG]. MR 85f:13023
    • [EG] D. Eisenbud and S. Goto: Linear free resolutions and minimal multiplicity. J. Algebra 88 (1984) 89-133. MR 85f:13023
    • (1984) J. Algebra , vol.88 , pp. 89-133
    • Eisenbud, D.1    Goto, S.2
  • 18
    • 0033474618 scopus 로고    scopus 로고
    • Gale Duality and Free Resolutions of Ideals of Points
    • [EPo]. MR 2000i:13014
    • [EPo] D. Eisenbud and S. Popescu: Gale Duality and Free Resolutions of Ideals of Points. Invent. Math. 136 (1999) 419-449. MR 2000i:13014
    • (1999) Invent. Math. , vol.136 , pp. 419-449
    • Eisenbud, D.1    Popescu, S.2
  • 19
    • 0036529163 scopus 로고    scopus 로고
    • Exterior algebra methods for the Minimal Resolution Conjecture
    • [EPSW]
    • [EPSW] D. Eisenbud, S. Popescu, F.-O. Schreyer and C. Walter: Exterior algebra methods for the Minimal Resolution Conjecture, Duke Math. J. 112 (2002), 379-395.
    • (2002) Duke Math. J. , vol.112 , pp. 379-395
    • Eisenbud, D.1    Popescu, S.2    Schreyer, F.-O.3    Walter, C.4
  • 20
    • 0242333411 scopus 로고    scopus 로고
    • Hyperplane arrangements and resolutions of monomial ideals over an exterior algebra
    • [EPY], this issue
    • [EPY] D. Eisenbud, S. Popescu, and S. Yuzvinsky: Hyperplane arrangements and resolutions of monomial ideals over an exterior algebra. Trans. Amer. Math. Soc., this issue.
    • Trans. Amer. Math. Soc.
    • Eisenbud, D.1    Popescu, S.2    Yuzvinsky, S.3
  • 22
    • 0037791707 scopus 로고    scopus 로고
    • Resultants and Chow forms via exterior syzygies
    • [ES2]
    • [ES2] D. Eisenbud, F.-O. Schreyer, and Jerzy Weyman: Resultants and Chow forms via exterior syzygies. J. Amer. Math. Soc. 16 (2003) 537-579.
    • (2003) J. Amer. Math. Soc. , vol.16 , pp. 537-579
    • Eisenbud, D.1    Schreyer, F.-O.2    Weyman, J.3
  • 24
  • 27
    • 0034550570 scopus 로고    scopus 로고
    • Monads on projective spaces
    • [Flo3]. MR 2002e:14070
    • [Flo3] G. Fløystad: Monads on projective spaces. Communications in Algebra. 28 (2000c) 5503-5516. MR 2002e:14070
    • (2000) Communications in Algebra , vol.28 , pp. 5503-5516
    • Fløystad, G.1
  • 31
    • 0033244689 scopus 로고    scopus 로고
    • The Eisenbud-Koh-Stillman Conjecture on Linear Syzygies
    • [Gre]. MR 2000j:13024
    • [Gre] M. Green: The Eisenbud-Koh-Stillman Conjecture on Linear Syzygies. Invent. Math. 136 (1999) 411-418. MR 2000j:13024
    • (1999) Invent. Math. , vol.136 , pp. 411-418
    • Green, M.1
  • 32
    • 0012006694 scopus 로고
    • Éléments de la Géometrie Algébrique IV: Étude locale des schémas et de morphismes de schémas (deuxième partie)
    • [GD]. MR 33:7330
    • [GD] A. Grothendieck and J. Dieudonné: Éléments de la Géometrie Algébrique IV: Étude locale des schémas et de morphismes de schémas (deuxième partie). Inst. Hautes Etudes Sci. Publ. Math. 24 (1965). MR 33:7330
    • (1965) Inst. Hautes Etudes Sci. Publ. Math. , vol.24
    • Grothendieck, A.1    Dieudonné, J.2
  • 33
    • 0003275895 scopus 로고
    • Triangulated Categories in the Representation Theory of Finite-Dimensional Algebras
    • [Hap]. MR 89e:16035
    • [Hap] D. Happel: Triangulated Categories in the Representation Theory of Finite-Dimensional Algebras. London Math. Soc. Lecture Notes Ser. 119, 1988. MR 89e:16035
    • (1988) London Math. Soc. Lecture Notes Ser. , vol.119
    • Happel, D.1
  • 35
    • 0242333410 scopus 로고    scopus 로고
    • Resolutions of modules over the exterior algebra
    • [HR]
    • [HR] J. Herzog and T. Römer: Resolutions of modules over the exterior algebra, working notes, 1999.
    • (1999) Working Notes
    • Herzog, J.1    Römer, T.2
  • 36
    • 0001116146 scopus 로고
    • Vector bundles on the punctured spectrum of a local ring
    • [Hor]. MR 30:121
    • [Hor] G. Horrocks: Vector bundles on the punctured spectrum of a local ring, Proc. London Math. Soc. (3) 14 (1964), 714-718. MR 30:121
    • (1964) Proc. London Math. Soc. (3) , vol.14 , pp. 714-718
    • Horrocks, G.1
  • 37
    • 0001788692 scopus 로고
    • 4 with 15,000 symmetries
    • [HM]. MR 52:3164
    • 4 with 15,000 symmetries. Topology 12 (1973) 63-81. MR 52:3164
    • (1973) Topology , vol.12 , pp. 63-81
    • Horrocks, G.1    Mumford, D.2
  • 38
    • 0001112148 scopus 로고
    • On the derived categories of coherent sheaves on some homogeneous spaces
    • [Kap1]. MR 89g:18018
    • [Kap1] M. M. Kapranov: On the derived categories of coherent sheaves on some homogeneous spaces. Invent. Math. 92 (1988) 479-508. MR 89g:18018
    • (1988) Invent. Math. , vol.92 , pp. 479-508
    • Kapranov, M.M.1
  • 39
    • 0041687355 scopus 로고
    • On the derived category and K-functor of coherent sheaves on intersections of quadrics
    • [Kap2]
    • [Kap2] M. M. Kapranov: On the derived category and K-functor of coherent sheaves on intersections of quadrics. Izv. Akad. Nauk SSSR Ser. Mat. 52 (1988) 186-199; English transl., Math. USSR Izv. 32 (1989), 191-204. MR 89f:14014
    • (1988) Izv. Akad. Nauk SSSR Ser. Mat. , vol.52 , pp. 186-199
    • Kapranov, M.M.1
  • 40
    • 0043190150 scopus 로고
    • English transl.. MR 89f:14014
    • [Kap2] M. M. Kapranov: On the derived category and K-functor of coherent sheaves on intersections of quadrics. Izv. Akad. Nauk SSSR Ser. Mat. 52 (1988) 186-199; English transl., Math. USSR Izv. 32 (1989), 191-204. MR 89f:14014
    • (1989) Math. USSR Izv. , vol.32 , pp. 191-204
  • 41
    • 0002449688 scopus 로고
    • Sur la classification des courbes gauches
    • [MP]. MR 91h:14039
    • [MP] M. Martin-Deschamps and D. Perrin: Sur la classification des courbes gauches. Astérisque 184-185 (1990). MR 91h:14039
    • (1990) Astérisque , pp. 184-185
    • Martin-Deschamps, M.1    Perrin, D.2
  • 43
    • 0042844105 scopus 로고
    • Projective bundles, monoidal transformations, and derived categories of coherent sheaves
    • [Orl]
    • [Orl] D. O. Orlov: Projective bundles, monoidal transformations, and derived categories of coherent sheaves. Izv. Ross. Akad. Nauk Ser. Mat. 56 (1992) 852-862; translation in Russian Acad. Sci. Izv. Math. 41 (1993) 133-141. MR 94e:14024
    • (1992) Izv. Ross. Akad. Nauk Ser. Mat. , vol.56 , pp. 852-862
    • Orlov, D.O.1
  • 44
    • 0042844105 scopus 로고
    • MR 94e:14024
    • [Orl] D. O. Orlov: Projective bundles, monoidal transformations, and derived categories of coherent sheaves. Izv. Ross. Akad. Nauk Ser. Mat. 56 (1992) 852-862; translation in Russian Acad. Sci. Izv. Math. 41 (1993) 133-141. MR 94e:14024
    • (1993) Russian Acad. Sci. Izv. Math. , vol.41 , pp. 133-141
  • 45
    • 84966241807 scopus 로고
    • Koszul resolutions
    • [Pri]. MR 42:346
    • [Pri] S. B. Priddy: Koszul resolutions. Trans. Amer. Math. Soc. 152 (1970) 39-60. MR 42:346
    • (1970) Trans. Amer. Math. Soc. , vol.152 , pp. 39-60
    • Priddy, S.B.1
  • 46
    • 33646902398 scopus 로고
    • Liaison equivalence classes
    • [Rao]. MR 83j:14045
    • [Rao] P. Rao: Liaison equivalence classes, Math. Ann. 258 (1981) 169-173. MR 83j:14045
    • (1981) Math. Ann. , vol.258 , pp. 169-173
    • Rao, P.1
  • 47
    • 0002139242 scopus 로고    scopus 로고
    • Small fields in constructive algebraic geometry
    • [Sch] S. Maruyama ed.: New York, Dekker. MR 97h:14050
    • [Sch] F.-O. Schreyer: Small fields in constructive algebraic geometry. In S. Maruyama ed.: Moduli of Vector Bundles, Sanda 1994. New York, Dekker 1996, 221-228. MR 97h:14050
    • (1996) Moduli of Vector Bundles, Sanda 1994 , pp. 221-228
    • Schreyer, F.-O.1
  • 48
    • 0001511781 scopus 로고
    • K-theory of quadric hypersurfaces
    • [Swa]. MR 87g:14006
    • [Swa] R. G. Swan: K-theory of quadric hypersurfaces. Ann. of Math. 122 (1985) 113-153. MR 87g:14006
    • (1985) Ann. of Math. , vol.122 , pp. 113-153
    • Swan, R.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.