Results 21 to 30 of about 105 (36)
Isogeny classes of abelian varieties over function fields
, 2005 We study isogeny classes of abelian varieties over a function field in one variable over the field of complex numbers.Comment: 22 ...
Zarhin, Yuri G.
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Jacobians of noncommutative motives [PDF]
, 2014 In this article one extends the classical theory of (intermediate) Jacobians to the “noncommutative world”. Concretely, one constructs a ℚ-linear additive Jacobian functor N → J(N) from the category of noncommutative Chow motives to the category of ...
Marcolli, Matilde, Tabuada, Gonçalo
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Multiplicative isogeny estimates [PDF]
, 2017 The theory of isogeny estimates for Abelian varieties provides ‘additive bounds' of the form ‘d is at most B' for the degrees d of certain isogenies. We investigate whether these can be improved to ‘multiplicative bounds' of the form ‘d divides B'.
Masser, David
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Evaluation of Novel Probiotic Bacillus Strains Based on Enzyme Production and Protective Activity Against Salmonellosis [PDF]
, 2019 Probiotic strains of Bacillus Species are used in industrial poultry production because of their ability to produce enzymes enhancing the absorption of food, and their ability to reduce the risk of Salmonella spp. infection.
Ghorban Hosseini, Nazila +3 more
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, 2011 We solve the equation $f(x,y)^3 + g(x,y)^3 = x^3 + y^3$ for homogeneous $f, g \in \mathbb C(x,y)$, completing an investigation begun by Vi\`ete in 1591. The usual addition law for elliptic curves and composition give rise to two binary operations on the ...
Berndt B. C. +3 more
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Isogeny classes of abelian varieties with no principal polarizations
, 2000 We provide a simple method of constructing isogeny classes of abelian varieties over certain fields k such that no variety in the isogeny class has a principal polarization. In particular, given a field k, a Galois extension l of k of odd prime degree p,
Howe, Everett W.
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Polarization types of isogenous Prym-Tyurin varieties
, 2007 Let p:C-->Y be a covering of smooth, projective curves which is a composition of \pi:C-->C' of degree 2 and g:C'-->Y of degree n. Let f:X-->Y be the covering of degree 2^n, where the curve X parametrizes the liftings in C^{(n)} of the fibers of g:C'-->Y.
Kanev, Vassil, Lange, Herbert
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Selmer groups as flat cohomology groups
, 2015 Given a prime number $p$, Bloch and Kato showed how the $p^\infty$-Selmer group of an abelian variety $A$ over a number field $K$ is determined by the $p$-adic Tate module.
Cesnavicius, Kestutis
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Cohomological rank functions on abelian varieties
, 2018 Generalizing the continuous rank function of Barja-Pardini-Stoppino, in this paper we consider cohomological rank functions of $\mathbb Q$-twisted (complexes of) coherent sheaves on abelian varieties.
Jiang, Zhi, Pareschi, Giuseppe
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Isogenies of CM Elliptic Curves [PDF]
Given two CM elliptic curves over a number field and a natural number m, we establish a polynomial lower bound (in terms of m) for the number of rational primes p such that the reductions of these elliptic curves modulo a prime above p are m-isogenous ...
Assing, E., Li, Y. , Wang, T., Xia, J.
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