Results 81 to 90 of about 43,119 (196)

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

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

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

The minimum and maximum number of rational points on jacobian surfaces over finite fields

, 2010
We give some bounds on the numbers of rational points on abelian varieties and jacobians varieties over finite fields. The main result is that we determine the maximum and minimum number of rational points on jacobians varieties of dimension ...
Haloui, Safia
core   +2 more sources

LOCAL SYSTEMS ON COMPLEMENTS OF ARRANGEMENTS OF SMOOTH, COMPLEX ALGEBRAIC HYPERSURFACES

Forum of Mathematics, Sigma, 2018
We consider smooth, complex quasiprojective varieties $U$ that admit a compactification with a boundary, which is an arrangement of smooth algebraic hypersurfaces. If the hypersurfaces intersect locally like hyperplanes,
GRAHAM DENHAM, ALEXANDER I. SUCIU
doaj   +1 more source

Degenerating abelian varieties via log abelian varieties

This thesis is based on the author's paper [52]. It extends the construction of log Tate curves from [25, §1] to higher dimensions. The approach involves extensive applications of algebraic spaces and higher-dimensional convex geometry to create diverse models for any given split totally degenerate semi-stable abelian variety over a complete discrete ...
openaire   +1 more source

Correspondences to abelian varieties I

Duke Mathematical Journal, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +4 more sources

THE MOTIVE OF THE HILBERT CUBE $X^{[3]}$

Forum of Mathematics, Sigma, 2016
The Hilbert scheme $X^{[3]}$ of length-3 subschemes of a smooth projective variety $X$
MINGMIN SHEN, CHARLES VIAL
doaj   +1 more source

Lawson homology for abelian varieties [PDF]

Forum Mathematicum, 2013
Abstract In this paper we study the action of the Fourier–Mukai transform on the Lawson homology of abelian varieties and a Beauville-type eigenspace decomposition of Lawson homology with rational coefficients.
openaire   +3 more sources