Results 21 to 30 of about 94 (88)
On the local Langlands correspondence for non-tempered representations [PDF]
, 2013 Let G be a reductive p-adic group. We study how a local Langlands correspondence for irreducible tempered G-representations can be extended to a local Langlands correspondence for all irreducible smooth representations of G.
Solleveld, Maarten +15 more
core
Arithmetic structures in sheaves of differential operators on formal schemes and D-affinity [PDF]
, 2018 In the first part of this talk we are going to define certain integral structures, depending on a congruence level, for the sheaves of differential operators on a formal scheme which is a blow-up of a formal scheme which itself is formally smooth over a ...
Strauch, Matthias
core
A cohomological Steinness criterion for holomorphically spreadable complex spaces [PDF]
, 2010 summary:Let $X$ be a complex space of dimension $n$, not necessarily reduced, whose cohomology groups $H^1(X,{\cal O}), \ldots , H^{n-1}(X,{\cal O})$ are of finite dimension (as complex vector spaces).
Viorel Vâjâitu, Vâjâitu, Viorel
core +1 more source
On l-adic Cohomology of Artin stacks: L-functions, Weights, and the Decomposition theorem [PDF]
, 2010 We develop the notion of stratifiability in the context of derived categories and the six operations for stacks in the work of Laszlo and Olsson. Then we reprove Behrend's Lefschetz trace formula for stacks, and give the meromorphic continuation of the L-
Sun, Shenghao
core
Which singular tangent bundles are isomorphic?
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract Logarithmic and b$ b$‐tangent bundles provide a versatile framework for addressing singularities in geometry. Introduced by Deligne and Melrose, these modified bundles resolve singularities by reframing singular vector fields as well‐behaved sections of these singular bundles.
Eva Miranda, Pablo Nicolás
wiley +1 more source
On cohomology of locally profinite sets
Proceedings of the London Mathematical Society, Volume 132, Issue 5, May 2026.Abstract We construct a locally profinite set of cardinality ℵω$\aleph _{\omega }$ with infinitely many first cohomology classes of which any distinct finite product does not vanish. Building on this, we construct the first example of a nondescendable faithfully flat map between commutative rings of cardinality ℵω$\aleph _{\omega }$ within Zermelo ...
Ko Aoki
wiley +1 more source
A Miyaoka–Yau inequality for hyperplane arrangements in CPn$\mathbb {CP}^n$
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract Let H$\mathcal {H}$ be a hyperplane arrangement in CPn$\mathbb {CP}^n$. We define a quadratic form Q$Q$ on RH$\mathbb {R}^{\mathcal {H}}$ that is entirely determined by the intersection poset of H$\mathcal {H}$. Using the Bogomolov–Gieseker inequality for parabolic bundles, we show that if a∈RH$\mathbf {a}\in \mathbb {R}^{\mathcal {H}}$ is ...
Martin de Borbon, Dmitri Panov
wiley +1 more source
Annulation générique pour les D-modules holonomes : une étude via la dualité de Cartier [PDF]
Motivée par des questions en théorie analytique des nombres et en géométrie complexe, cette thèse étudie un théorème d'annulation générique pour la cohomologie de de Rham des D-modules holonomes sur un groupe algébrique commutatif connexe G.Nous ...
Ribeiro, Gabriel
core +6 more sources
Graph potentials and topological quantum field theories
Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.Abstract We introduce a new functional equation in birational geometry, whose solutions can be used to construct two‐dimensional topological quantum field theories (2d TQFTs), infinite‐dimensional in many interesting examples. The solutions of the equation give rise to a hierarchy of graph potentials, which, in the simplest setup, are Laurent ...
Pieter Belmans +2 more
wiley +1 more source
Equivariant toric geometry and Euler–Maclaurin formulae
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.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