Results 41 to 50 of about 449 (121)
Examples of the Local $L^2$-Cohomology of Algebraic Varieties
, 2020 $L^2$-cohomology is a cohomology theory on Riemannian manifolds. It agrees with de Rham cohomology in the compact case, but is often different in the non-compact case.
Cruz, Joshua
core +1 more source
The Field of Norms Functor and the Hilbert Symbol [PDF]
, 2010 The classical Hilbert symbol of a higher local field $F$ containing a primitive $p^M$-th root of unity $\zeta_M$ is a pairing $F^*/(F^*)^{p^M}\times K_N(F)/p^M \to \mu_{p^M}$, describing Kummer extensions of exponent $p^M$.
JENNI, RUTH,CHRISTINE +1 more
core
On the Hodge conjecture for products of certain surfaces [PDF]
, 2003 In this thesis we prove the Hodge conjecture for products of smooth projective surfaces S(_1) x S(_2), where S(_2) = A is an Abelian surface and S (_1) is such that P(_g)(S(_1)) = 1, q = 2.
J. Ramón Marí, José +1 more
core
Computing the equivariant Euler characteristic of Zariski and étale sheaves on curves
, 2005 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
core +1 more source
Manifolds, sheaves, and cohomology
, 2016 This book explains techniques that are essential in almost all branches of modern geometry such as algebraic geometry, complex geometry, or non-archimedian geometry. It uses the most accessible case, real and complex manifolds, as a model.
Wedhorn, Torsten,, Wedhorn, Torsten
core +1 more source
On the l-adic cohomology of varieties over number fields and its Galois cohomology [PDF]
, 1989 Jannsen, Uwe
core +1 more source
Bifurcation of Fredholm maps II; The dimension of the set of bifurcation points [PDF]
, 2011 We obtain an estimate for the covering dimension of the set of bifurcation points for solutions of nonlinear elliptic boundary value problems from the principal symbol of the linearization along the trivial branch of ...
Pejsachowicz, Jacobo
core
Algebraic geometry 2: sheaves and cohomology
, 2001 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
core
Artificial intelligence-aided protein engineering: from topological data analysis to deep protein language models. [PDF]
Brief Bioinform, 2023 Qiu Y, Wei GW.
europepmc +1 more source