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Alice Silverberg
Researcher at University of California, Irvine
Publications - 124
Citations - 3876
Alice Silverberg is an academic researcher from University of California, Irvine. The author has contributed to research in topics: Abelian group & Elliptic curve. The author has an hindex of 28, co-authored 123 publications receiving 3705 citations. Previous affiliations of Alice Silverberg include University of California & Harvard University.
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Algebraic maps constant on isomorphism classes of unpolarized abelian varieties are constant
TL;DR: It is shown that if a rational map is constant on each isomorphism class of unpolarized abelian varieties of a given dimension, then it is a constant map.
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Connectedness extensions for abelian varieties
Alice Silverberg,Yu. G. Zarhin +1 more
TL;DR: In this paper, the authors studied extensions of a given abelian variety over a field, where the abelians are of Weil type, and they showed that the smallest extension of the field such that the Zariski closure of the image of the representation associated to the Abelian representation is connected.
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Étale cohomology and reduction of abelian varieties
Alice Silverberg,Yu. G. Zarhin +1 more
TL;DR: In this article, the authors study the \'etale cohomology groups associated to abelian varieties and obtain necessary and sufficient conditions for an abelians variety to have semistable reduction in terms of the action of the absolute inertia group.
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Revisiting the Gentry-Szydlo Algorithm.
TL;DR: In this paper, the Gentry-Szydlo algorithm is put into a mathematical framework, and it is shown that it is part of a general theory of lattices with symmetry.
Journal ArticleDOI
Algebraic maps constant on isomorphism classes of unpolarized abelian varieties are constant
TL;DR: Boneh et al. as discussed by the authors showed that if a rational map is constant on each isomorphism class of unpolarized abelian varieties of a given dimension, then it is a constant map.