Results 91 to 100 of about 40,354 (209)
sl(2)-Trivial Deformations of Vect_{Pol}(R)-Modules of Symbols
We consider the action of Vect_{Pol}(R) by Lie derivative on the spaces of symbols of differential operators. We study the deformations of this action that become trivial once restricted to sl(2).
Mabrouk Ben Ammar, Maha Boujelbene
doaj +1 more source
Rational cohomology of M4,1$\mathcal {M}_{4,1}$
Abstract We compute the rational cohomology of the moduli space M4,1$\mathcal {M}_{4,1}$ of nonsingular genus 4 curves with one marked point, using Gorinov–Vassiliev's method.
Yiu Man Wong, Angelina Zheng
wiley +1 more source
On the rigid cohomology of certain Shimura varieties [PDF]
We construct the compatible system of l-adic representations associated to a regular algebraic cuspidal automorphic representation of $$GL_n$$GLn over a CM (or totally real) field and check local–global compatibility for the l-adic representation away ...
M. Harris+3 more
semanticscholar +1 more source
Cohomologies of the Poisson superalgebra [PDF]
We consider antiPoisson superalgebras realized on the smooth Grassmann-valued functions with compact supports in R^n and with the grading inverse to Grassmanian parity. The lower cohomologies of these superalgebras are found.
A. G. Smirnov+2 more
openaire +5 more sources
Biflat F‐structures as differential bicomplexes and Gauss–Manin connections
Abstract We show that a biflat F‐structure (∇,∘,e,∇∗,∗,E)$(\nabla,\circ,e,\nabla ^*,*,E)$ on a manifold M$M$ defines a differential bicomplex (d∇,dE∘∇∗)$(d_{\nabla },d_{E\circ \nabla ^*})$ on forms with value on the tangent sheaf of the manifold. Moreover, the sequence of vector fields defined recursively by d∇X(α+1)=dE∘∇∗X(α)$d_{\nabla }X_{(\alpha +1)}
Alessandro Arsie, Paolo Lorenzoni
wiley +1 more source
Period Functions for Maass Wave Forms and Cohomology
Eigenfunctions of the hyperbolic Laplace operator Maass forms and analytic cohomology: cocompact groups Cohomology of infinite cyclic subgroups of PSL2(R) Maass forms and semi-analytic cohomology: groups with cusps Maass forms and differentiable ...
R. Bruggeman, John S. Lewis, D. Zagier
semanticscholar +1 more source
The Shi variety corresponding to an affine Weyl group
Abstract Let W$W$ be an irreducible Weyl group and Wa$W_a$ its affine Weyl group. In this article we show that there exists a bijection between Wa$W_a$ and the integral points of an affine variety, denoted X̂Wa$\widehat{X}_{W_a}$, which we call the Shi variety of Wa$W_a$.
Nathan Chapelier‐Laget
wiley +1 more source
Local Cohomology: An Algebraic Introduction with Geometric Applications
This book provides a careful and detailed algebraic introduction to Grothendieck’s local cohomology theory, and provides many illustrations of applications of the theory in commutative algebra and in the geometry of quasi-affine and quasi-projective ...
M. Brodmann, R. Y. Sharp
semanticscholar +1 more source