Vector bundles over real algebraic surfaces and threefolds
Wojciech Kucharz (1986)
Compositio Mathematica
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Wojciech Kucharz (1986)
Compositio Mathematica
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Omegar Calvo-Andrade, Marcio G. Soares (1994)
Annales de l'institut Fourier
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We will consider codimension one holomorphic foliations represented by sections , and having a compact Kupka component . We show that the Chern classes of the tangent bundle of behave like Chern classes of a complete intersection 0 and, as a corollary we prove that is a complete intersection in some cases.
Sinan Sertöz (1989)
Compositio Mathematica
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Andrew John Sommese (1977)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Jim Morrow, Hugo Rossi (1981)
Compositio Mathematica
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José Manuel Carballés (1984)
Annales de l'institut Fourier
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In this paper a construction of characteristic classes for a subfoliation is given by using Kamber-Tondeur’s techniques. For this purpose, the notion of -foliated principal bundle, and the definition of its associated characteristic homomorphism, are introduced. The relation with the characteristic homomorphism of -foliated bundles, , the results of Kamber-Tondeur on the cohomology of --algebras. Finally, Goldman’s results on the restriction of foliated bundles to the leaves of...
Walter Gubler (2003)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Classical results of Weil, Néron and Tate are generalized to local heights of subvarieties with respect to hermitian pseudo-divisors. The local heights are well-defined if the intersection of supports is empty. In the archimedean case, the metrics are hermitian and the local heights are defined by a refined version of the -product of Gillet-Soulé developped on compact varieties without assuming regularity. In the non-archimedean case, the local heights are intersection numbers using...