Results 101 to 110 of about 3,771 (225)

Moduli of logarithmic abelian varieties with PEL structure [PDF]

, 2022
We construct the fine moduli space of log abelian varieties with PEL structure, which gives a toroidal compactification of the moduli space of abelian varieties with PEL ...
Kajiwara, Takeshi, Kato, Kazuya, Nakayama, Chikara   +2 more
core   +1 more source

On the Kolyvagin's formula, the Tate pairing associated to an isogeny, the local Artin map and the Hilberts symbol

Karpatsʹkì Matematičnì Publìkacìï, 2013
A proof of nondegeneracy of the Tate pairing and Kolyvagin's formula for elliptic curves with good reductions over an $n$-dimensional ($nleq 3$) pseudolocal field, the Tate pairing associated to an isogeny between abelian varieties over pseudolocal field
V. I. Nesteruk
doaj   +3 more sources

Hodge theory of abelian covers of algebraic varieties

Forum of Mathematics, Sigma
Motivated by classical Alexander invariants of affine hypersurface complements, we endow certain finite dimensional quotients of the homology of abelian covers of complex algebraic varieties with a canonical and functorial mixed Hodge structure (MHS ...
Eva Elduque, Moisés Herradón Cueto
doaj   +1 more source

Irreducibility of Newton strata in ${GU}(1,n-1)$ Shimura varieties

Proceedings of the American Mathematical Society, Series B, 2014
Let 𝐿 be a quadratic imaginary field, inert at the rational prime 𝑝. Fix an integer 𝑛≥3, and let ℳ be the moduli space (in characteristic 𝓅) of principally polarized abelian varieties of dimension 𝓃 equipped with an action by 𝒪_{ℒ}
Jeffrey D. Achter
doaj   +1 more source

Abelian varieties over finite fields [PDF]

, 2005
Gael: Luminy 21 - 25 March 2005 We could try to classify isomorphism classes of abelian varieties. The theory of moduli spaces of polarized abelian varieties answers this question completely. This is a geometric theory.
Oort, F.
core  

Regularity on abelian varieties I [PDF]

, 2003
We introduce the notion of Mukai regularity ($M$-regularity) for coherent sheaves on abelian varieties. The definition is based on the Fourier-Mukai transform, and in a special case depending on the choice of a polarization it parallels and strengthens ...
Pareschi G., Popa M.
core   +1 more source

ARTINIAN \(\mathbf{M}\)-COMPLETE, \(\mathbf{M}\)-REDUCED, AND MINIMALLY \(\mathbf{M}\)-COMPLETE ASSOCIATIVE RINGS

Ural Mathematical Journal
In 1996, the first author defined analogs of the concepts of complete (divisible), reduced, and periodic abelian groups, well-known in the theory of abelian groups, for arbitrary varieties of algebras. In 2021, the first author proposed a modification of
Leonid M. Martynov, Tatiana V. Pavlova
doaj   +1 more source

On varietal capability of Infinite direct products of groups [PDF]

International Journal of Group Theory, 2012
Recently, the authors gave some conditions under which a direct product of finitely many groups is V-capable if and only if each of its factors is V-capable for some varieties V.
Behrooz Mashayekhy, Hanieh Mirebrahimi
doaj  

A characterization of Jacobians by the existence of Picard bundles

Le Matematiche, 2008
Based on the Matsusaka-Ran criterion we give a criterion to characterize when a principal polarized abelian variety is a Jacobian by the existence of Picard bundles.
Ana C. López Martín, Ernesto C. Mistretta, Darío Sánchez Gómez   +2 more
doaj  

Terminalizations of quotients of compact hyperkähler manifolds by induced symplectic automorphisms [PDF]

Épijournal de Géométrie Algébrique
Terminalizations of symplectic quotients are sources of new deformation types of irreducible symplectic varieties. We classify all terminalizations of quotients of Hilbert schemes of K3 surfaces or of generalized Kummer varieties, by finite groups of ...
Valeria Bertini, Annalisa Grossi, Mirko Mauri, Enrica Mazzon   +3 more
doaj   +1 more source