1.6k citations
- Université Paris-SudFR639 papers
- Centre National de la Recherche ScientifiqueFR621 papers
- Université Paris-SaclayFR464 papers
- École Normale Supérieure - PSLFR59 papers
- Département de mathématiques et applicationsFR53 papers
- Laboratoire de Mathématiques Blaise PascalFR51 papers
- Université Paris CitéFR48 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR47 papers
- École PolytechniqueFR46 papers
- Sorbonne UniversitéFR43 papers
- Institut FourierFR42 papers
- Institut Universitaire de FranceFR41 papers
5 papers · 2 filters
Non-abelian descent types
Nguyen Manh Linh
We present the notion of non-abelian descent type, which classifies torsors up to twisting by a Galois cocycle. This relies on the previous construction of kernels and non-abelian…
Cycle caractéristique sur une puissance symétrique d'une courbe et déterminant de la cohomologie étale
Fabrice Orgogozo, Joël Riou
Relying on the formalism developed by Alexander Beilinson and Takeshi Saito, we compute the characteristic cycle of an external symmetric power of a tame étale sheaf on a curve. Th…
A note on the semistability of singular projective hypersurfaces
Thomas Mordant
In this note, we give sufficient conditions for the (semi)stability of a hypersurface of in terms of its degree , the maximal multiplicity of its singul…
Coherent sheaves on surfaces, COHAs and deformed -algebras
Anton Mellit, Alexandre Minets, Olivier Schiffmann +1
We compute the cohomological Hall algebra of zero-dimensional sheaves on an arbitrary smooth quasi-projective surface with pure cohomology, deriving an explicit presentation by…
On the superadditivity of anticanonical Iitaka dimension
Marta Benozzo, Iacopo Brivio, Chi-Kang Chang
Given a fibration with normal general fibre , over a field of any characteristic, we establish the Iitaka-type inequality $κ(X,-K_X) \leq κ(X_y,-K_{X_y})+κ(Y,-K_Y…