Results 21 to 30 of about 3,771 (225)
Abelian functions associated with a cyclic tetragonal curve of genus six [PDF]
, 2009 We develop the theory of Abelian functions defined using a tetragonal curve of genus six, discussing in detail the cyclic curve y^4 = x^5 + λ[4]x^4 + λ[3]x^3 + λ[2]x^2 + λ[1]x + λ[0].
Eilbeck, J. C. +2 more
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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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Solvable Lie A-algebras. [PDF]
, 2011 A finite-dimensional Lie algebra $L$ over a field $F$ is called an $A$-algebra if all of its nilpotent subalgebras are abelian. This is analogous to the concept of an $A$-group: a finite group with the property that all of its Sylow subgroups are abelian.
Towers, David A., David A. Towers
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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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Isogenies of abelian varieties [PDF]
, 1993 We discuss the question of when two polarized abelian varieties with partial level structure, which are isogenous and are defined over a given field F, are F-isogenous as abelian varieties without ...
Silverberg, A. +3 more
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Endomorphism Rings of Ordinary Abelian Varieties [PDF]
, 2022 The main objects of study in this thesis are abelian varieties and their endomorphism rings. Abelian varieties are not just interesting in their own right, they also have numerous applications in various areas such as in algebraic geometry, number theory
Sanon, Sogo Pierre
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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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Trace zero varieties in cryptography : optimal representation and index calculus [PDF]
, 2014 The trace zero variety associated to an elliptic or hyperelliptic curve is an abelian variety defined over a finite field F_q. Its F_q-rational points yield a finite group, the trace zero subgroup of the degree zero Picard group of the original curve ...
Massierer, Maike
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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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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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