Results 11 to 20 of about 70 (68)
, 2021 In this talk we shall explain a method to translate arithmetic information to algebraic data in the context of the study of the unramified Brauer group of tori.Non UBCUnreviewedAuthor affiliation: Emory ...
Parimala, Raman
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On the stratification of smooth plane curves by automorphism groups [PDF]
, 2017 Curvas proyectivas no singulares sobre un cuerpo con grupo de automorfismo no trivial son de gran interés en Geometría Aritmética. En la tesis, estudiamos la estratificación de las curvas planas no singulares (de género mayor o igual a tres) por sus ...
Farag, Eslam Essam Ebrahim
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The Generic Clifford Algebra and its Brauer Class
, 2021 The Clifford algebra is an object intimately connected with the theory of quadratic forms and orthogonal groups. This classical notion of Clifford algebras associated to quadratic forms can be generalized to higher degree.
Ure, Charlotte
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, 2017 This book is motivated by the problem of determining the set of rational points on a variety, but its true goal is to equip readers with a broad range of tools essential for current research in algebraic geometry and number theory.
Bjorn Poonen, Poonen, Bjorn
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Derangements in intransitive groups
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract Let G$G$ be a nontrivial permutation group of degree n$n$. If G$G$ is transitive, then a theorem of Jordan states that G$G$ has a derangement. Equivalently, a finite group is never the union of conjugates of a proper subgroup. If G$G$ is intransitive, then G$G$ may fail to have a derangement, and this can happen even if G$G$ has only two ...
David Ellis, Scott Harper
wiley +1 more source
Topological Aspects of Quadratic Graphs and M‐Polynomials Utilizing Classes of Finite Quasigroups
Journal of Mathematics, Volume 2026, Issue 1, 2026.Material science, drug design and toxicology studies, which relate a molecule’s structure to its numerous properties and activities, are studied with the use of the topological index. Graphs with finite algebraic structure find extensive applications in fields such as mathematics, elliptic curve cryptography, physics, robotics and information theory ...
Mohammad Mazyad Hazzazi +5 more
wiley +1 more source
Symmetric products and puncturing Campana‐special varieties
Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.Abstract We give a counterexample to the Arithmetic Puncturing Conjecture and Geometric Puncturing Conjecture of Hassett–Tschinkel using symmetric powers of uniruled surfaces, and propose a corrected conjecture inspired by Campana's conjectures on special varieties.
Finn Bartsch +2 more
wiley +1 more source
Explicit methods in number theory. Report 32/2005
, 2005 From the text: These notes contain extended abstracts on the topic of explicit methods in number theory. The range of topics included modular forms, varieties over finite fields, rational and integral points on varieties, class groups, and integer ...
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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
Growth problems in diagram categories
Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3454-3469, November 2025.Abstract In the semisimple case, we derive (asymptotic) formulas for the growth rate of the number of summands in tensor powers of the generating object in diagram/interpolation categories.
Jonathan Gruber, Daniel Tubbenhauer
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