Results 31 to 40 of about 87 (85)

Mirror symmetry, Laurent inversion, and the classification of Q$\mathbb {Q}$‐Fano threefolds

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract We describe recent progress in a program to understand the classification of three‐dimensional Fano varieties with Q$\mathbb {Q}$‐factorial terminal singularities using mirror symmetry. As part of this we give an improved and more conceptual understanding of Laurent inversion, a technique that sometimes allows one to construct a Fano variety X$
Tom Coates, Liana Heuberger, Alexander M. Kasprzyk   +2 more
wiley   +1 more source

Topological K‐theory of quasi‐BPS categories for Higgs bundles

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract In a previous paper, we introduced quasi‐BPS categories for moduli stacks of semistable Higgs bundles. Under a certain condition on the rank, Euler characteristic, and weight, the quasi‐BPS categories (called BPS in this case) are noncommutative analogues of Hitchin integrable systems.
Tudor Pădurariu, Yukinobu Toda
wiley   +1 more source

Variations in alcohol craving and negative mood during a clinical trial of ibudilast for alcohol use disorder

Alcohol, Clinical and Experimental Research, Volume 49, Issue 11, Page 2604-2618, November 2025.
Neuroimmune compounds are being investigated as novel treatments for alcohol use disorder (AUD). This secondary analysis of a randomized clinical trial of ibudilast for AUD (N = 102) evaluated changes in self‐report symptom measures of craving, depression, and anxiety collected monthly over 12 weeks.
Lindsay R. Meredith, Erica N. Grodin, Craig K. Enders, Lara A. Ray   +3 more
wiley   +1 more source

Classifying thick subcategories over a Koszul complex via the curved BGG correspondence

Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.
Abstract In this work, we classify the thick subcategories of the bounded derived category of dg modules over a Koszul complex on any list of elements in a regular ring. This simultaneously recovers a theorem of Stevenson when the list of elements is a regular sequence and the classification of thick subcategories for an exterior algebra over a field ...
Jian Liu, Josh Pollitz
wiley   +1 more source

Equivariant Hilbert and Ehrhart series under translative group actions

Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.
Abstract We study representations of finite groups on Stanley–Reisner rings of simplicial complexes and on lattice points in lattice polytopes. The framework of translative group actions allows us to use the theory of proper colorings of simplicial complexes without requiring an explicit coloring to be given.
Alessio D'Alì, Emanuele Delucchi
wiley   +1 more source

Stable equivalence relations on 4‐manifolds

Proceedings of the London Mathematical Society, Volume 131, Issue 5, November 2025.
Abstract Kreck's modified surgery gives an approach to classifying smooth 2n$2n$‐manifolds up to stable diffeomorphism, that is, up to connected sum with copies of Sn×Sn$S^n \times S^n$. In dimension 4, we use a combination of modified and classical surgery to study various stable equivalence relations which we compare to stable diffeomorphism.
Daniel Kasprowski, John Nicholson, Simona Veselá   +2 more
wiley   +1 more source

Projectively coresolved Gorenstein flat dimension of groups

Journal of Algebra
In this paper, we introduce and study the projectively coresolved Gorenstein flat dimension of a group $G$ over a commutative ring $R$ and we prove that this dimension enjoys all the properties of the cohomological and the Gorenstein cohomological dimension.
openaire   +4 more sources

A Note on Projectively Coresolved Gorenstein Flat Complexes and Dimensions

Wuhan University Journal of Natural Sciences
In this article, we first establish a recollement related to projectively coresolved Gorenstein flat (PGF) complexes. Secondly, we define and study PGF dimension of complexes, we denote it PGF( X ) for a complex X . It is shown that the PGF(
Bowen DU, Bo LU
openaire   +1 more source

Finitistic dimension and Endomorphism algebras of Gorenstein projective modules

, 2018
Let $A$ be an Artin algebra, $M$ be a Gorenstein projective $A$-module and $B =$ End$_A M$, then $M$ is a $A$-$B$-bimodule. We use the restricted flat dimension of $M_B$ to give a characterization of the homological dimensions of $A$ and $B$, and obtain the following main results: (1) if $A$ is a CM-finite algebra with $\cal GP$($A$) = add$_AE$ and fin.
openaire   +2 more sources

Ordinary varieties with trivial canonical bundle are not uniruled. [PDF]

Math Ann, 2021
Patakfalvi Z, Zdanowicz M.
europepmc   +1 more source