Results 1 to 10 of about 80 (63)
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 +4 more sources
The monodromy of families of subvarieties on abelian varieties [PDF]
Duke Mathematical Journal70 pages, v3: final revised ...
Ariyan Javanpeykar, Thomas Kramer
exaly +3 more sources
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
exaly +3 more sources
Intersecting subvarieties of abelian varieties with algebraic subgroups of complementary dimension [PDF]
Inventiones Mathematicae, 2008 Inventiones mathematicae, 176 (2)
P Habegger
exaly +4 more sources
Subvarieties of Abelian Varieties
, 2001 We discuss various constructions which allow one to embed a principally polarized abelian variety in the jacobian of a curve. Each of these gives representatives of multiples of the minimal cohomology class for curves which in turn produce subvarieties of higher dimension representing multiples of the minimal class.
E Izadi, Izadi E
exaly +3 more sources
Fulton-Hansen and Barth-Lefschetz theorems for subvarieties of abelian varieties.
Journal Fur Die Reine Und Angewandte Mathematik, 1995 This is the published (Crelles Journal 467 (1995), 187--197) version of an e-print entitled "ON SUBVARIETIES OF ABELIAN VARIETIES".
Olivier Débarre
exaly +3 more sources
Sparsity of p-divisible unramified liftings for subvarieties of abelian varieties with trivial stabilizer [PDF]
Algebra and Number Theory, 2018 19 ...
Danny Scarponi
exaly +5 more sources
The Brauer-Manin obstruction for subvarieties of abelian varieties over function fields [PDF]
Annals of Mathematics, 2010 We prove that for a large class of subvarieties of abelian varieties over global function fields, the Brauer-Manin condition on adelic points cuts out exactly the rational points. This result is obtained from more general results concerning the intersection of the adelic points of a subvariety with the adelic closure of the group of rational points of ...
Björn Poonen, JOSÉ Felipe Voloch
exaly +4 more sources
Density and completeness of subvarieties of moduli spaces of curves or Abelian varieties
Mathematische Annalen, 1998 AMS-LaTeX, 15 ...
E Izadi, Izadi E
exaly +3 more sources
Mathematische Zeitschrift, 2013 The aim here is to give some examples of abelian varieties that admit a decomposition into abelian subvarieties in a sufficiently controlled way that the induced polarisation can be computed. This extra control comes about because the big abelian variety has an action of a finite group, in this case a dihedral group, given by a representation on the ...
Herbert Lange +2 more
exaly +8 more sources