Results 61 to 70 of about 317 (137)
Algebraic geometry 2: sheaves and cohomology
Modern algebraic geometry is built upon two fundamental notions: schemes and sheaves. The theory of schemes is presented in the first part of this book (Algebraic Geometry 1: From Algebraic Varieties to Schemes, AMS, 1999, Translations of Mathematical ...
Ueno, Kenji
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Computing the equivariant Euler characteristic of Zariski and étale sheaves on curves
We prove an equivariant Grothendieck-Ogg-Shafarevich formula. This formula may be viewed as an étale analogue of well-known formulas for Zariski sheaves generalizing the classical Chevalley-Weil formula.
Koeck, Bernhard
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Representations of Finite Groups Local Cohomology and Support
The seminar focuses on a recent solution, by the authors, of a long standing problem concerning the stable module category (of not necessarily finite dimensional representations) of a finite group.
Benson, David J. +7 more
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Local cohomology of Du Bois singularities and applications to families
In this paper we study the local cohomology modules of Du Bois singularities. Let $(R,\mathfrak{m})$ be a local ring; we prove that if $R_{\text{red}}$ is Du Bois, then $H_{\mathfrak{m}}^{i}(R)\rightarrow H_{\mathfrak{m}}^{i}(R_{\text{red}})$ is ...
Linquan Ma +2 more
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Augmented Homotopical Algebraic Geometry
In this thesis we are interested in extending the theory of homotopical algebraic geometry, which itself is a homotopification of classical algebraic geometry.
Scott Lewis Balchin (7742411)
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Geometrical aspects of spinor and twistor analysis [PDF]
This work is concerned with two examples of the interactions between differential geometry and analysis, both related to spinors. The first example is the Dirac operator on conformal spin manifolds with boundary.
Calderbank, David M. J.
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Singular algebraic curves: with an appendix by Oleg Viro
Singular algebraic curves have been in the focus of study in algebraic geometry from the very beginning, and till now remain a subject of an active research related to many modern developments in algebraic geometry, symplectic geometry, and tropical ...
Greuel, Gert-Martin +2 more
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A foundation for synthetic algebraic geometry
This is a foundation for algebraic geometry, developed internal to the Zariski topos, building on the work of Kock and Blechschmidt (Kock (2006) [I.12], Blechschmidt (2017)).
Cherubini, Felix, +2 more
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Unusual Mathematical Approaches Untangle Nervous Dynamics. [PDF]
Tozzi A, Mariniello L.
europepmc +1 more source
On the l-adic cohomology of varieties over number fields and its Galois cohomology
Jannsen, Uwe
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