Results 71 to 80 of about 40,312 (218)

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

On generalized quaternion algebras

International Journal of Mathematics and Mathematical Sciences, 1980
Let B be a commutative ring with 1, and G(={σ}) an automorphism group of B of order 2. The generalized quaternion ring extension B[j] over B is defined by S. Parimala and R.
George Szeto
doaj   +1 more source

On the section conjecture over fields of finite type

Mathematische Nachrichten, Volume 298, Issue 11, Page 3476-3493, November 2025.
Abstract Assume that the section conjecture holds over number fields. We prove then that it holds for a broad class of curves defined over finitely generated extensions of Q$\mathbb {Q}$. This class contains every projective, hyperelliptic curve, every hyperbolic, affine curve of genus ≤2$\le 2$, and a basis of open subsets of any curve.
Giulio Bresciani
wiley   +1 more source

Divisor classes in pseudo Galois extensions [PDF]

Pacific Journal of Mathematics, 1971
Let \(R\) be a Krull domain, and let \(S\) be the integral closure of \(R\) in a finite extension of its fraction field. Assume that there is a finite cocommutative Hopf algebra \(H\) acting on \(S\) over \(R\) (in geometric terms, a finite \(R\)-group scheme acting on \(\text{Spec}\,S\)).
openaire   +2 more sources

Hochschild–Mitchell cohomology and Galois extensions

Journal of Pure and Applied Algebra, 2007
21 ...
Herscovich, E., Solotar, A.
openaire   +6 more sources

On Galois projective group rings

International Journal of Mathematics and Mathematical Sciences, 1991
Let A be a ring with 1, C the center of A and G′ an inner automorphism group of A induced by {Uα in ​A/α in a finite group G whose order is invertible}.
George Szeto, Linjun Ma
doaj   +1 more source

Equivalence Theorems and Hopf–Galois Extensions

Journal of Algebra, 1997
This work studies equivalence theorems for categories \({\mathcal M}(H)^D_A\) of right (\(D\)-\(A\))-Hopf modules. The authors get a characterization of the Hopf-Galois extensions. The paper has three main parts. In section two the notions which are going to be used are defined and some of the theorems relating the category of modules over a ring and ...
MENINI, Claudia, ZUCCOLI M.
openaire   +1 more source

Torus partition function of the six-vertex model from algebraic geometry

Journal of High Energy Physics, 2019
We develop an efficient method to compute the torus partition function of the six-vertex model exactly for finite lattice size. The method is based on the algebro-geometric approach to the resolution of Bethe ansatz equations initiated in a previous work,
Jesper Lykke Jacobsen, Yunfeng Jiang, Yang Zhang   +2 more
doaj   +1 more source

Galois Module Structure of the Integers in Wildly Ramified C_p × C_p Extensions [PDF]

, 1997
G. Griffith Elder, Manohar L. Madan
openalex   +1 more source

Hopf-Galois structures on extensions of degree p2q and skew braces of order p2q: The cyclic Sylow p-subgroup case [PDF]

, 2020
E. Campedel, A. Caranti, Ilaria Del Corso   +2 more
openalex   +1 more source