메뉴 건너뛰기




Volumn 314, Issue 4, 1999, Pages 641-665

Arithmetic intersection theory on flag varieties

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0033437423     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002080050311     Document Type: Article
Times cited : (12)

References (23)
  • 2
    • 34250085806 scopus 로고
    • Analytic torsion and holomorphic determinant bundles I. Bott-Chern forms and analytic torsion
    • J.-M. Bismut, H. Gillet, C. Soulé : Analytic torsion and holomorphic determinant bundles I. Bott-Chern forms and analytic torsion, Comm. Math. Phys. 115 (1988), 49-78.
    • (1988) Comm. Math. Phys. , vol.115 , pp. 49-78
    • Bismut, J.-M.1    Gillet, H.2    Soulé, C.3
  • 3
    • 0000894331 scopus 로고
    • Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
    • A. Borel : Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts, Ann. of Math. 57 (1953), 115-207.
    • (1953) Ann. of Math. , vol.57 , pp. 115-207
    • Borel, A.1
  • 4
    • 0000470541 scopus 로고
    • Kählerian coset spaces of semisimple Lie groups
    • A. Borel : Kählerian coset spaces of semisimple Lie groups. Proc. Nat. Acad. Sci. U.S.A. 40(1954), 1147-1151.
    • (1954) Proc. Nat. Acad. Sci. U.S.A. , vol.40 , pp. 1147-1151
    • Borel, A.1
  • 5
    • 84968513706 scopus 로고
    • Heights of projective varieties and positive Green forms
    • J.-B. Bost, H. Gillet, C. Soulé : Heights of projective varieties and positive Green forms. Journal of the AMS 7 (1994), 903-1027.
    • (1994) Journal of the AMS , vol.7 , pp. 903-1027
    • Bost, J.-B.1    Gillet, H.2    Soulé, C.3
  • 6
    • 0003157796 scopus 로고
    • Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic sections
    • R. Bott, S. S. Chern : Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic sections. Acta Math. 114 (1968), 71-112.
    • (1968) Acta Math. , vol.114 , pp. 71-112
    • Bott, R.1    Chern, S.S.2
  • 7
    • 0002783111 scopus 로고
    • Le déterminant de la cohomologie
    • Current Trends in Arithmetical Algebraic Geometry
    • P. Deligne : Le déterminant de la cohomologie, in Current Trends in Arithmetical Algebraic Geometry. Contemp. Math. 67 (1987), 93-178.
    • (1987) Contemp. Math. , vol.67 , pp. 93-178
    • Deligne, P.1
  • 8
    • 0000252436 scopus 로고
    • Diophantine approximation on abelian varieties
    • G. Faltings : Diophantine approximation on abelian varieties. Ann. of Math. 133 (1991), 549-576.
    • (1991) Ann. of Math. , vol.133 , pp. 549-576
    • Faltings, G.1
  • 9
    • 0003314349 scopus 로고
    • Intersection theory
    • Springer-Verlag
    • W. Fulton : Intersection Theory. Ergebnisse der Math. 2 (1984), Springer-Verlag.
    • (1984) Ergebnisse der Math. , vol.2
    • Fulton, W.1
  • 10
    • 84974003577 scopus 로고
    • Flags, Schubert polynomials, degeneracy loci, and determinantal formulas
    • W. Fulton : Flags, Schubert polynomials, degeneracy loci, and determinantal formulas. Duke Math. J. 65 no. 3 (1992), 381-420.
    • (1992) Duke Math. J. , vol.65 , Issue.3 , pp. 381-420
    • Fulton, W.1
  • 11
    • 0000294457 scopus 로고
    • Riemann-Roch theorems for higher algebraic K-theory
    • H. Gillet : Riemann-Roch theorems for higher algebraic K-theory. Advances in Mathematics 40 no. 3 (1981), 203-289.
    • (1981) Advances in Mathematics , vol.40 , Issue.3 , pp. 203-289
    • Gillet, H.1
  • 12
    • 51249171685 scopus 로고
    • Arithmetic intersection theory
    • H. Gillet, C. Soulé : Arithmetic intersection theory. Publ. math., I.H.E.S. 72 (1990), 94-174.
    • (1990) Publ. Math., I.H.E.S. , vol.72 , pp. 94-174
    • Gillet, H.1    Soulé, C.2
  • 13
    • 0001037699 scopus 로고
    • Characteristic classes for algebraic vector bundles with hermitian metrics, I, II
    • H. Gillet, C. Soulé : Characteristic classes for algebraic vector bundles with hermitian metrics, I, II. Annals of Math. 131 (1990), 163-203 and 205-238.
    • (1990) Annals of Math. , vol.131 , pp. 163-203
    • Gillet, H.1    Soulé, C.2
  • 14
    • 34250486381 scopus 로고
    • Locally homogeneous complex manifolds
    • P. Griffiths, W. Schmid : Locally homogeneous complex manifolds. Acta Math. 123 (1969), 253-302.
    • (1969) Acta Math. , vol.123 , pp. 253-302
    • Griffiths, P.1    Schmid, W.2
  • 17
    • 0003295513 scopus 로고
    • Notes on schubert polynomials
    • Univ. de Québec àMontréal
    • I. G. Macdonald : Notes on Schubert Polynomials, Publ. LACIM 6 (1991), Univ. de Québec àMontréal.
    • (1991) Publ. LACIM , vol.6
    • Macdonald, I.G.1
  • 18
    • 0002372520 scopus 로고
    • Schubert polynomials
    • Guildford LMS Lecture Note Series 166
    • I. G. Macdonald : Schubert polynomials. Surveys in combinatorics, Guildford 1991, 73-99, LMS Lecture Note Series 166.
    • (1991) Surveys in Combinatorics , pp. 73-99
    • Macdonald, I.G.1
  • 19
    • 84974001878 scopus 로고
    • Un calcul de Schubert arithmétique
    • V. Maillot : Un calcul de Schubert arithmétique, Duke Math. J. 80 no. 1 (1995), 195-221.
    • (1995) Duke Math. J. , vol.80 , Issue.1 , pp. 195-221
    • Maillot, V.1
  • 20
    • 0000790004 scopus 로고
    • Higher algebraic K-theory I
    • Algebraic K-Theory I, Springer-Verlag
    • D. Quillen : Higher algebraic K-theory I, in Algebraic K-Theory I, Lecture Notes in Math. 341 (1973), Springer-Verlag, 85-147.
    • (1973) Lecture Notes in Math. , vol.341 , pp. 85-147
    • Quillen, D.1
  • 21
    • 0041065836 scopus 로고    scopus 로고
    • Hermitian vector bundles on arithmetic varieties
    • Amer. Math. Soc., Providence, RI
    • C. Soulé : Hermitian vector bundles on arithmetic varieties, Algebraic Geometry-Santa Cruz 1995, Proc. Sympos. Pure Math., 62 Part 1 (1997), 383-419, Amer. Math. Soc., Providence, RI.
    • (1997) Algebraic Geometry-Santa Cruz 1995, Proc. Sympos. Pure Math. , vol.62 , Issue.PART 1 , pp. 383-419
    • Soulé, C.1
  • 23
    • 0010161954 scopus 로고    scopus 로고
    • Bott-Chern forms and arithmetic intersections
    • H. Tamvakis : Bott-Chern forms and arithmetic intersections, L'Enseign. Math. 43 (1997), 33-54.
    • (1997) L'Enseign. Math. , vol.43 , pp. 33-54
    • Tamvakis, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.