The stable category of Gorenstein flat sheaves on a Noetherian scheme

L Christensen, S Estrada, P Thompson - Proceedings of the American …, 2021 - ams.org
… The stable category of Gorenstein projective modules is a … The category of Gorenstein
flat modules is rarely Frobenius; … with the category of Gorenstein projective modules, see [5, …

Two categorical studies: relative homological algebra of R-modules, fixpoint theorems for Q-categories

A Benkhadra - 2023 - theses.hal.science
… spéciaux finiment présentés, les concepts de module injectif et plat de nX-Gorenstein, et …
de M telle que Xn est stable par sommes finies, et par sous-modules cycliques. Alors, M est 1-X…

Arithmetic and geometric deformations of -pure and -regular singularities

K Sato, S Takagi - arXiv preprint arXiv:2103.03721, 2021 - arxiv.org
… it out to a normal Q-Gorenstein scheme X of mixed characteristic … F-regular singularities are
stable under equal characteristic … -module defined as the first nonzero cohomology module of …

From formal smoothings to geometric smoothings

A Nobile - arXiv preprint arXiv:2211.14089, 2022 - arxiv.org
… well studied and it is known that stable surfaces lie within the … I-adic ring and M is a finitely
generated A-module, then … deformation of a Gorenstein morphism is still Gorenstein, for which …

On the projectivity of some moduli spaces of varieties

QAF Posva - 2022 - infoscience.epfl.ch
… This compactification has a modular interpretation: while points of MF correspond bijectively
… Q-Gorenstein family of log Fano pairs of maximal variation with uniformly K-stable general …

Fourier–Mukai and autoduality for compactified Jacobians, II

M Melo, A Rapagnetta, F Viviani - Geometry & Topology, 2019 - msp.org
… –modules with quasicoherent cohomology sheaves and by D … (semi)stable with respect to
q, or simply q–(semi)stable, if for … (ii) If the curve X is irreducible (and Gorenstein) of arithmetic …

Elliptic bihamiltonian structures from relative shifted Poisson structures

Z Hua, A Polishchuk - Journal of Topology, 2023 - Wiley Online Library
… In this paper we extend this setup by allowing the varieties to be singular Gorensteinmodular
definition of these brackets obtained by studying vector bundle extensions of a fixed stable

Gluing for stable families of surfaces in mixed characteristic

Q Posva - arXiv preprint arXiv:2110.09845, 2021 - arxiv.org
… Motivated by the question of properness of the moduli space of stable surfaces in mixed
characteristic, we study the gluing problem for stable families of lc surfaces over a mixed …

Definable functors between triangulated categories with applications to tensor-triangular geometry and representation theory

I Bird, J Williamson - arXiv preprint arXiv:2310.02159, 2023 - arxiv.org
… The stable homotopy category of spectra is the resulting … In algebra, taking the stable category
of modules offers an analogous … Let XFlat(Tc) and consider the first two terms of a pure …

[PDF][PDF] Lifting globally -split surfaces to characteristic zero

F Bernasconi, I Brivio, T Kawakami… - arXiv preprint arXiv …, 2022 - arxiv.org
… For example, we can prove a bound on the Gorenstein index … Then the Gorenstein index of
X and the global index of KX … case when X has klt Gorenstein (hence canonical) singularities. …