Results 61 to 70 of about 2,776 (226)

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 the number of Abelian subvarieties of reduced degree on an Abelian variety [PDF]

Due to Poincaré's Reducibility Theorem, we know that for an Abelian variety A there exists an isogeny decomposition of A into simple factors. However, this decomposition hides many interesting properties of the set of Abelian subvarieties of A.
Muñoz Santander, Camila
core   +1 more source

Detecting linear dependence on a simple abelian variety [PDF]

, 2010
Let A be a geometrically simple abelian variety over a number field k, let X be a subgroup of A(k) and let P ε A(k) be a rational point.
Jossen, Peter 1980-, Jossen, Peter
core   +1 more source

The equations of singular loci of ample divisors on (subvarieties of) abelian varieties

Le Matematiche, 2008
In this paper we consider ideal sheaves associated to the singular loci of a divisor in a linear system |L| of an ample line bundle on a complex abelian variety.
Luigi Lombardi, Francesco Malaspina
doaj  

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

The Scheme of Formal Curves on an Abelian Variety [PDF]

, 2006
[EN]Let X be an abelian variety defined over an algebraically closed field k of arbitrary characteristic. The aim of this note is to show that the scheme , which parametrizes germs of formal curves on X, is the Picard scheme of a formal ...
Pablos Romo, Fernando
core   +1 more source

Quasi-abelian and quasi-solvable regular semigroups

Le Matematiche, 1996
In this note quasi-abelian semigroups are studied and it is proved that they form an e-variety of orthodox semigroups. More, quasi-abelian regular Bruck-Reilly monoids are characterized as extensions of monoids which are (reverse) semidirect products of ...
Brunetto Piochi
doaj  

A weakly non-abelian decay channel

Journal of High Energy Physics
We investigate non-abelian branes in curved space. We discuss solutions to the equations of motion of the transverse scalars when they are constant along the world-volume directions and obey an 𝔰𝔲(2) or an 𝔰𝔲(2) ⊕ 𝔰𝔲(2) algebra. Motivated by the membrane
Vincent Menet, Alessandro Tomasiello
doaj   +1 more source