Results 31 to 40 of about 2,135 (235)
Extension functors of generalized local cohomology modules and Serre subcategories
In this paper we present several results concerning the cofiniteness of generalized local cohomology modules.
Kamal Bahmanpour
doaj
On the Kottwitz conjecture for local shtuka spaces
Kottwitz’s conjecture describes the contribution of a supercuspidal representation to the cohomology of a local Shimura variety in terms of the local Langlands correspondence.
David Hansen +2 more
doaj +1 more source
Equivariant toric geometry and Euler–Maclaurin formulae
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell +3 more
wiley +1 more source
Vanishing and localization of $(d,\frak{b})$-ideal transforms [PDF]
Let $R$ be a commutative Noetherian ring, $\!M$ an $\!R$-module and $d$ a non-negative integer. Let $\Sigma$ denote the set of ideals $\frak{I}$ of $R$ such that $\mathrm{dim}(R/\frak{I})\!\leq\!d$.
Mirsadegh Sayedsadeghi
doaj +1 more source
Rational points in a family of conics over F2(t)$\mathbb {F}_2(t)$
Abstract Serre famously showed that almost all plane conics over Q$\mathbb {Q}$ have no rational point. We investigate versions of this over global function fields, focusing on a specific family of conics over F2(t)$\mathbb {F}_2(t)$ which illustrates new behavior.
Daniel Loughran, Judith Ortmann
wiley +1 more source
Fibers of rational maps and Rees algebras of their base ideals
We consider a ratinonal map $\phi$ from m-dimensional projective space to n-dimensional projective space that is a parameterization of m-dimensional variety. Our main goal is to study the (m-1)-dimensional fibers of $\phi$ in relation with the m-th local
Tran Quang Hoa, Ho Vu Ngoc Phuong
doaj +1 more source
Upper bounds and attached primes of top local cohomology modules defined by a pair of ideals [PDF]
Throughout R is a Noetherian local ring. In this paper we study cohomological dimension of an R-module M with respect to a pair of ideals and some of its relations with the attached prime ideals of M and the cohomological dimension of M with respect to ...
Sh. Payrovi, S. Karim
doaj +1 more source
On the Euler characteristic of S$S$‐arithmetic groups
Abstract We show that the sign of the Euler characteristic of an S$S$‐arithmetic subgroup of a simple algebraic group depends on the S$S$‐congruence completion only, except possibly in type 6D4${}^6 D_4$. Consequently, the sign is a profinite invariant for such S$S$‐arithmetic groups with the congruence subgroup property. This generalizes previous work
Holger Kammeyer, Giada Serafini
wiley +1 more source
Local equivalence and refinements of Rasmussen's s‐invariant
Abstract Inspired by the notions of local equivalence in monopole and Heegaard Floer homology, we introduce a version of local equivalence that combines odd Khovanov homology with equivariant even Khovanov homology into an algebraic package called a local even–odd (LEO) triple.
Nathan M. Dunfield +2 more
wiley +1 more source
Localization of Cohomological Induction
We give a geometric realization of cohomologically induced (\mathfrak{g},K) -modules. Let (\mathfrak{h}, L) be a subpair of
openaire +4 more sources

