Results 51 to 60 of about 3,771 (225)

Moduli of supersingular Abelian varieties [PDF]

, 1998
Abelian varieties can be classified via their moduli. In positive characteristic the structure of the p-torsion-structure is an additional, useful tool. For that structure supersingular abelian varieties can be considered the most special ones.
Li, Ke-Zheng, Oort, Frans
core   +1 more source

Abelian Function Fields on Jacobian Varieties

Axioms
The aim of this paper is an exposition of fields of multiply periodic, or Kleinian, ℘-functions. Such a field arises on the Jacobian variety of an algebraic curve, providing natural algebraic models for the Jacobian and Kummer varieties, possessing the ...
Julia Bernatska
doaj   +1 more source

Radical Classes Closed Under Products

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013
This is a survey of what is known about Kurosh-Amitsur radical classes which are closed under direct products. Associative rings, groups, abelian groups, abelian ℓ-groups and modules are treated.
Gardner Barry
doaj   +1 more source

Higher representation stability for ordered configuration spaces

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) configuration spaces of a scheme/topological space X$X$. First, we provide an iterative procedure to study higher representation stability using actions coming from ...
Quoc P. Ho
wiley   +1 more source

On subvarieties of abelian varieties

Inventiones Mathematicae, 1980
Let A be a complete nonsingular algebraic curve of genus n over IF. The Jacobian J(A) has the standard subvarieties Wj={a I +...ae: areA}, considering A as embedded in J(A), and PoincarCs formula tells us that the cohomology class [Wj=[O]"-e/(n-d)!, where O is the canonical principal polarization of J(A). Thus [We] is a primitive (indivisible) positive
openaire   +2 more sources

Cycles and Endomorphisms of Abelian Varieties [PDF]

Nagoya Mathematical Journal, 1954
In the present paper we shall remark that to each class of algebraically equivalent cycles on a Jacobian variety we can attach a symmetric element of the ring of endomorphisms of the variety and shall prove some formulae concerning attached symmetric elements.
openaire   +2 more sources

On the positivity and integrality of coefficients of mirror maps

Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.
Abstract We present natural conjectural generalisations of the ‘positivity and integrality of mirror maps’ phenomenon, encompassing the mirror maps appearing in the Batyrev–Borisov construction of mirror Calabi–Yau complete intersections in Fano toric varieties as a special case.
Sophie Bleau, Nick Sheridan
wiley   +1 more source

On the Hodge conjecture for products of certain surfaces [PDF]

, 2003
In this thesis we prove the Hodge conjecture for products of smooth projective surfaces S(_1) x S(_2), where S(_2) = A is an Abelian surface and S (_1) is such that P(_g)(S(_1)) = 1, q = 2.
J. Ramón Marí, José, J Ramón Marí, José   +1 more
core  

Noether-Lefschetz cycles on the moduli space of abelian varieties

Forum of Mathematics, Pi
The locus of nonsimple abelian varieties in the moduli space of principally polarized abelian varieties gives rise to Noether-Lefschetz cycles. We study their intersection theoretic properties using the tautological projection constructed in [4], and ...
Aitor Iribar López
doaj   +1 more source