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pro vyhledávání: '"Helmut A. Hamm"'
Autor:
Helmut A. Hamm
Publikováno v:
Pure and Applied Mathematics Quarterly. 16:1083-1098
Autor:
Helmut A. Hamm
Publikováno v:
Singularities and Computer Algebra ISBN: 9783319288284
Geometrically interesting examples of factorial rings are provided by the coordinate rings of certain affine complete intersections. Here one has to show that the Weil divisor class group vanishes. Using Hodge theory or Deligne-Beilinson cohomology o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8644dd01052025c6fa5bfaaabe6037c8
https://doi.org/10.1007/978-3-319-28829-1_7
https://doi.org/10.1007/978-3-319-28829-1_7
Autor:
Dung Trang Lê, Helmut A. Hamm
Publikováno v:
Journal of Singularities
Journal of Singularities, Worldwide Center of Mathematics, LLC, 2018, 18, pp.215-237. ⟨10.5427/jsing.2018.18j⟩
Journal of Singularities, 2018, 18, pp.215-237. ⟨10.5427/jsing.2018.18j⟩
Journal of Singularities, Worldwide Center of Mathematics, LLC, 2018, 18, pp.215-237. ⟨10.5427/jsing.2018.18j⟩
Journal of Singularities, 2018, 18, pp.215-237. ⟨10.5427/jsing.2018.18j⟩
International audience; We study analogues of the usual Picard group for complex manifolds or non-singular complex algebraic varieties but instead of line bundles we study line bundles with connections. We choose an approach which works for both case
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f9b8ebe50a17632ec4233b89f03836b3
http://arxiv.org/abs/1609.02738
http://arxiv.org/abs/1609.02738
Autor:
Helmut A. Hamm, Lê Dũng Tráng
Publikováno v:
Journal of Singularities. :13-38
In this paper we give Lefschetz type theorems for Picard groups of quasiprojective varieties. In particular we prove a generalization of the Kodaira vanishing theorem that we understand as a Lefschetz theorem for the structural sheaf.
Autor:
Helmut A. Hamm
Publikováno v:
Journal of Singularities. 2:81-91
We will prove theorems of Zariski-Lefschetz type for the analytic Chow groups of a quasi-projective variety. We will also derive an algebraic analogue, using formal instead of tubular neighbourhoods.
Autor:
Helmut A. Hamm
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 267:131-138
In his book SGA2, A. Grothendieck developed Lefschetz theorems for the Picard group, the aim being to compare the Picard group of a projective variety with the one of a hyperplane section. An intermediate object is the Picard group of the formal comp
Autor:
Helmut A. Hamm
Publikováno v:
Singularities II. :69-78
Autor:
Helmut A. Hamm
Publikováno v:
Journal of Singularities. 13
Stratied Morse theory is the generalization of usual Morse theory to functions on stratied spaces. There are versions for the topological type, homotopy type or (co)homology. A standard reference is the book of Goresky-MacPherson which primarily trea
Autor:
Helmut A. Hamm
Publikováno v:
Topology. 38:427-438
Autor:
Lê Dũng Tráng, Helmut A. Hamm
Publikováno v:
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 327:759-762
Resume Nous donnons des theoremes d'annulation pour l'hypercohomologie de complexes de faisceaux algebriquement constructibles sur une variete algebrique complexe. Les preuves de ces theoremes sont plus faciles dans ce cadre, car les morphismes algeb