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1996 | 36 | 1 | 51-59
Tytuł artykułu

Vector fields, residues and cohomology

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
Słowa kluczowe
Rocznik
Tom
36
Numer
1
Strony
51-59
Opis fizyczny
Daty
wydano
1996
Twórcy
  • Department of Mathematics, University of British Columbia, 121-1984 Mathematics Road, Vancouver, B.C. V6T 1Z2, Canada
Bibliografia
  • [AA] E. Akyildiz and Y. Akyildiz, The relations of Plücker coordinates to Schubert calculus, J. Differential Geom. 29 (1989), 135-142.
  • [AC1] E. Akyildiz and J. B. Carrell, Cohomology of projective varieties with regular $SL_2$ actions, Manuscripta Math. 58 (1987), 473-486.
  • [AC2] E. Akyildiz and J. B. Carrell, A generalization of the Kostant-Macdonald identity, Proc. Nat. Acad. Sci. U.S.A. 86 (1989), 3934-3937.
  • [ACLS] E. Akyildiz, J. B. Carrell, D. I. Lieberman and A. J. Sommese, On the graded rings associated to holomorphic vector fields with exactly one zero, Proc. Sympos. Pure Math. 40 (1983), 55-57.
  • [ALP] E. Akyildiz, A. Lascoux and P. Pragacz, Cohomology of Schubert subvarieties of $GL_n/P$, J. Differential Geom. 35 (1992), 511-519.
  • [At] M. F. Atiyah, Complex analytic connections in fibre bundles, Trans. Amer. Math. Soc. 85 (1957), 181-207.
  • [Be] A. Beauville, Une notion de résidu en géométrie analytique, in: Séminaire Pierre Lelong (Analyse). Année 1970. Lecture Notes in Math. 205, Springer-Verlag, Berlin and New York, 1971, 183-203.
  • [BB] A. Białynicki-Birula, Some theorems on actions of algebraic groups, Ann. of Math. (2) 98 (1973), 480-497.
  • [B1] R. Bott, Vector fields and characteristic numbers, Michigan Math. J. 40 (1967), 231-244.
  • [B2] R. Bott, A residue formula for holomorphic vector fields, J. Differential Geom. 1 (1967), 311-330.
  • [B3] R. Bott, On a topological obstruction to integrability, Proc. Sympos. Pure Math. 16 (1970), 127-132.
  • [C1] J. B. Carrell, A remark on the Grothendieck residue map, Proc. Amer. Math. Soc. 70 (1978), 43-48.
  • [C2] J. B. Carrell, Orbits of the Weyl group and a theorem of DeConcini and Procesi, Compositio Math. 60 (1986), 45-52.
  • [C3] J. B. Carrell, Vector fields, flag varieties and Schubert calculus, in: Proceedings of the Hyderabad Conference on Algebraic Groups, Manoj-Prakashan, Madras, 1991, 23-59.
  • [C4] J. B. Carrell, Bruhat cells in the nilpotent variety and the intersection rings of Schubert varieties, J. Differential Geom. 37 (1993), 651-668.
  • [C5] J. B. Carrell, Deformation of the nilpotent zero scheme and the intersection ring of invariant subvarieties, to appear in J. Reine Angew. Math.
  • [CL1] J. B. Carrell, and D. I. Lieberman, Holomorphic vector fields and compact Kaehler manifolds, Invent. Math. 21 (1973), 303-309.
  • [CL2] J. B. Carrell and D. I. Lieberman, Vector fields and Chern numbers, Math. Ann. 225 (1977), 263-272.
  • [DS] C. DeConcini and T. A. Springer, Betti numbers of complete symmetric varieties, Geometry Today, Birkhäuser (1985).
  • [H] R. Hartshorne, Residues and duality, Lecture Notes in Math. 20, Springer-Verlag, Berlin and New York, 1966.
  • [L] J. Lipman, Dualizing sheaves, differentials and residues on algebraic varieties, Astérisque 117 (1984).
  • [V] J. L. Verdier, Base change for twisted inverse image of coherent sheaves, in: Algebraic Geometry, Oxford University Press, London, 1969, 393-408.
Typ dokumentu
Bibliografia
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bwmeta1.element.bwnjournal-article-bcpv36z1p51bwm
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