scholarly journals Hodge groups of abelian varieties with purely multiplicative reduction

10.4213/im74 ◽  
1996 ◽  
Vol 60 (2) ◽  
pp. 149-158
Author(s):  
А Силверберг ◽  
A Silverberg ◽  
Юрий Геннадьевич Зархин ◽  
Yurii Gennad'evich Zarhin
Keyword(s):  
Abelian Varieties ◽  
Hodge Groups

scholarly journals Hodge groups of Abelian varieties with purely multiplicative reduction

1996 ◽  
Vol 60 (2) ◽  
pp. 379-389
Author(s):  
A Silverberg ◽  
Yu G Zarhin
Keyword(s):  
Abelian Varieties ◽  
Hodge Groups

scholarly journals Classification of nonrigid families of abelian varieties

1993 ◽  
Vol 45 (2) ◽  
pp. 159-189
Author(s):  
Masa-Hiko Saitō
Keyword(s):  
Abelian Varieties

Very ample line bundles on quasi-abelian varieties

2001 ◽  
Vol 236 (1) ◽  
pp. 191-200 ◽  
Author(s):  
Shigeharu Takayama
Keyword(s):  
Abelian Varieties ◽  
Line Bundles

scholarly journals A note on moduli spaces of conformal classes for flat tori of higher dimension and on their conformal multiplication

2021 ◽  
Author(s):  
Anna Gori ◽  
Alberto Verjovsky ◽  
Fabio Vlacci
Keyword(s):  
Moduli Space ◽  
Moduli Spaces ◽  
Abelian Varieties ◽  
Complex Multiplication ◽  
Higher Dimension ◽  
Geometric Constructions ◽  
Flat Torus ◽  
Flat Tori

AbstractMotivated by the theory of complex multiplication of abelian varieties, in this paper we study the conformality classes of flat tori in $${\mathbb {R}}^{n}$$ R n and investigate criteria to determine whether a n-dimensional flat torus has non trivial (i.e. bigger than $${\mathbb {Z}}^{*}={\mathbb {Z}}{\setminus }\{0\}$$ Z ∗ = Z \ { 0 } ) semigroup of conformal endomorphisms (the analogs of isogenies for abelian varieties). We then exhibit several geometric constructions of tori with this property and study the class of conformally equivalent lattices in order to describe the moduli space of the corresponding tori.

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