Results 11 to 20 of about 297 (187)
Les strates ne possèdent pas de variétés complètes
Comptes Rendus. Mathématique, 2020 This note gives an elementary proof that the strata of abelian differentials do not contain complete algebraic varieties.
Gendron, Quentin
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Finite $F$-representation type for homogeneous coordinate rings of non-Fano varieties [PDF]
Épijournal de Géométrie Algébrique, 2023 Finite $F$-representation type is an important notion in characteristic-$p$ commutative algebra, but explicit examples of varieties with or without this property are few.
Devlin Mallory
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Degenerating abelian varieties via log abelian varieties [PDF]
Asian Journal of Mathematics, 2018 For any split totally degenerate abelian variety over a complete discrete valuation field, we construct a log abelian variety over the discrete valuation ring extending the given abelian variety. This generalizes the log Tate curve of Kato.
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Abelian varieties over finite fields as basic abelian varieties [PDF]
Forum Mathematicum, 2016 Abstract In this note we show that any basic abelian variety with additional structures over an arbitrary algebraically closed field of characteristic p > 0
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SINGULARITIES OF THE BIEXTENSION METRIC FOR FAMILIES OF ABELIAN VARIETIES
Forum of Mathematics, Sigma, 2018 In this paper we study the singularities of the invariant metric of the Poincaré bundle over a family of abelian varieties and their duals over a base of arbitrary dimension.
JOSÉ IGNACIO BURGOS GIL +2 more
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Super-isolated abelian varieties [PDF]
Journal of Number Theory, 2020 We call an abelian variety over a finite field $\mathbb{F}_q$ super-isolated if its ($\mathbb{F}_q$-rational) isogeny class contains a single isomorphism class. In this paper, we use the Honda-Tate theorem to characterize super-isolated ordinary simple abelian varieties by certain algebraic integers.
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Rationally connected rational double covers of primitive Fano varieties [PDF]
Épijournal de Géométrie Algébrique, 2020 We show that for a Zariski general hypersurface $V$ of degree $M+1$ in ${\mathbb P}^{M+1}$ for $M\geqslant 5$ there are no Galois rational covers $X\dashrightarrow V$ of degree $d\geqslant 2$ with an abelian Galois group, where $X$ is a rationally ...
Aleksandr V. Pukhlikov
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Characterization of abelian varieties [PDF]
Inventiones Mathematicae, 2001 10 pages ...
Chen, J.A., Hacon, C.D.
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The field of moduli of quaternionic multiplication on abelian varieties
International Journal of Mathematics and Mathematical Sciences, 2004 We consider principally polarized abelian varieties with quaternionic multiplication over number fields and we study the field of moduli of their endomorphisms in relation to the set of rational points on suitable Shimura varieties.
Victor Rotger
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Smooth quotients of abelian surfaces by finite groups that fix the origin
Cubo, 2022 Let $A$ be an abelian surface and let $G$ be a finite group of automorphisms of $A$ fixing the origin. Assume that the analytic representation of $G$ is irreducible. We give a classification of the pairs $(A,G)$ such that the quotient $A/G$ is smooth. In
Robert Auffarth +2 more
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