Results 21 to 30 of about 297 (187)
Inventiones Mathematicae, 1981 Let (X0,2 o) be a polarized abelian variety over a field of characteristic p, p + 0; let R be a domain of characteristic zero. We say (X 0, 20) lifts to R provided there is a polarized abelian scheme, (X, 2), over R and a k-valued point of Spec R such that the fiber of(X, 2) over this point is (Xo, 20).
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Miyaoka–Yau inequalities and the topological characterization of certain klt varieties
Comptes Rendus. MathématiqueBall quotients, hyperelliptic varieties, and projective spaces are characterized by their Chern classes, as the varieties where the Miyaoka–Yau inequality becomes an equality.
Greb, Daniel +2 more
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Hodge-Deligne polynomials of character varieties of free abelian groups
Open Mathematics, 2021 Let FF be a finite group and XX be a complex quasi-projective FF-variety. For r∈Nr\in {\mathbb{N}}, we consider the mixed Hodge-Deligne polynomials of quotients Xr/F{X}^{r}\hspace{-0.15em}\text{/}\hspace{-0.08em}F, where FF acts diagonally, and compute ...
Florentino Carlos, Silva Jaime
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Reduction of Abelian Varieties [PDF]
, 2000 We study semistable reduction and torsion points of abelian varieties. In particular, we give necessary and sufficient conditions for an abelian variety to have semistable reduction. We also study N ron models of abelian varieties with potentially good reduction and torsion points of small order.
Silverberg, A., Zarhin, Yu. G.
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Hopf and Lie algebras in semi-additive Varieties [PDF]
Logical Methods in Computer Science, 2017 We study Hopf monoids in entropic semi-additive varieties with an emphasis on adjunctions related to the enveloping monoid functor and the primitive element functor.
Hans-E. Porst
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Canonical integral models for Shimura varieties of abelian type
Forum of Mathematics, SigmaWe prove a conjecture of Pappas and Rapoport for all Shimura varieties of abelian type with parahoric level structure when $p>2$ by showing that the Kisin–Pappas–Zhou integral models of Shimura varieties of abelian type are canonical.
Patrick Daniels, Alexander Youcis
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Advanced Science, EarlyView.We combine altermagnet with topological insulators and subject the structure to Floquet driving. This breaks time‐reversal symmetry and creates a new type of higher‐order topological insulator. Its key feature is the emergence of programmable “0/π‐corner modes” that can be controlled by magnetic field direction, offering a novel dynamic platform for ...
Donghao Wang +4 more
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Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
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2-ADIC INTEGRAL CANONICAL MODELS
Forum of Mathematics, Sigma, 2016 We use Lau’s classification of 2-divisible groups using Dieudonné displays to construct integral canonical models for Shimura varieties of abelian type at 2-adic places where the level is hyperspecial.
WANSU KIM, KEERTHI MADAPUSI PERA
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Rational points on even‐dimensional Fermat cubics
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
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