Results 71 to 80 of about 297 (187)

Wedderburn components, the index theorem and continuous Castelnuovo-Mumford regularity for semihomogeneous vector bundles

open access: yesAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2021
We study the property of continuous Castelnuovo-Mumford regularity, for semihomogeneous vector bundles over a given Abelian variety, which was formulated in A. Küronya and Y. Mustopa [Adv. Geom. 20 (2020), no. 3, 401-412].
Nathan Grieve
doaj  

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

open access: yesÉpijournal 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   +3 more
doaj   +1 more source

Pseudo-abelian varieties [PDF]

open access: yesAnnales scientifiques de l'École normale supérieure, 2013
Chevalley's theorem states that every smooth connected algebraic group over a perfect field is an extension of an abelian variety by a smooth connected affine group. That fails when the base field is not perfect. We define a pseudo-abelian variety over an arbitrary field k to be a smooth connected k-group in which every smooth connected affine normal k-
openaire   +2 more sources

A characterization of Jacobians by the existence of Picard bundles

open access: yesLe 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   +2 more
doaj  

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

open access: yesForum 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

open access: yes
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

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

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

open access: yesForum 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]

open access: yesForum 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

Ideals and congruences in $L$-algebras and pre-$L$-algebras [PDF]

open access: yesCategories and General Algebraic Structures with Applications
We link the recent theory of $L$-algebras to previous notions of Universal Algebra and Categorical Algebra concerning subtractive varieties,  commutators, multiplicative lattices, and their spectra.
Marino Gran   +2 more
doaj   +1 more source

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