Results 101 to 110 of about 230 (119)
Intersecting subvarieties of abelian schemes with group subschemes I
In this paper, we establish the following family version of Habegger\u27s bounded height theorem on abelian varieties: a locally closed subvariety of an abelian scheme with Gao\u27s $t^{\mathrm{th}}$ degeneracy locus removed, intersected with all flat ...
Ge, Tangli
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From Subvarieties Of Abelian Varieties To Kobayashi Hyperbolic Manifolds : After P. Vojta and G. Faltings(HOLOMORPHIC MAPPINGS, DIOPHANTINE GEOMETRY and RELATED TOPICS : in Honor of Professor Shoshichi Kobayashi on his 60th Birthday)openaire
Canonical measures of subvarieties of abelian varieties [PDF]
, 2022 We show that the canonical subset, which is defined as support of a canonical measure on an irreducible closed subvariety of an abelian variety over an algebraically closed non-trivially valued non-archimedean field with respect to an ample line bundle, is a piecewise linear space which is rational with respect to the value group of the mentioned field.
Stadlöder, Stefan
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LOWER BOUNDS FOR THE NORMALIZED HEIGHT AND NON-DENSE SUBSETS OF SUBVARIETIES OF ABELIAN VARIETIES [PDF]
International Journal of Number Theory, 2010 This work is the third part of a series of papers. In the first two, we considered curves and varieties in a power of an elliptic curve. Here, we deal with subvarieties of an abelian variety in general. Let V be a proper irreducible subvariety of dimension d in an abelian variety A, both defined over the algebraic numbers.
Viada, Evelina
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Heights of algebraic points on subvarieties of abelian varieties [PDF]
, 1996 Let \(A\) be an abelian variety defined over \(\overline{\mathbb{Q}}\). Let \(\widehat h\) be the Néron-Tate height associated to a given very ample symmetric line bundle \({\mathcal L}\) on \(A\) and \(d\) the associated semi-distance. Further, let \(X\) be a closed, geometrically irreducible subvariety of \(A\) defined over \(\overline{\mathbb{Q ...
ZANNIER, UMBERTO, ENRICO BOMBIERI
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Arithmetic of Subvarieties of Abelian and Semiabelian Varieties
1993Abstract We will discuss work of Faltings concerning rational points on subvarieties of abelian varieties. In the talk given at the conference, the present author announced a generalization of this theorem to the case of integral points on semiabelian varieties.
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Studia Logica, 2007
For \(n\geq1\), the lattice mentioned in the title is described. Here an identity \(s=t\) is called externally compatible if \(s\) and \(t\) are either identical or have the same outermost operation symbol.
Krystyna Mruczek-Nasieniewska
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For \(n\geq1\), the lattice mentioned in the title is described. Here an identity \(s=t\) is called externally compatible if \(s\) and \(t\) are either identical or have the same outermost operation symbol.
Krystyna Mruczek-Nasieniewska
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Holomorphic curves in Abelian varieties and intersections with higher codimensional subvarieties
Forum Mathematicum, 2004The paper under review concerns holomorphic curves in Abelian varieties, especially, the author's study of the higher-codimensional case. Namely, he proves that for algebraically nondegenerate holomorphic curves \(f\) from \(\mathbb{C}\) into an Abelian variety \(A\) and a subvariety \(Z\) of \(A\) with codimension not less than two the counting ...
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Effective bounds for the number of transcendental points on subvarieties of semi-abelian varieties
American Journal of Mathematics, 2000Let A be a semi-abelian variety, and X a subvariety of A , both defined over a number field. Assume that X does not contain X 1 + X 2 for any positive-dimensional subvarieties X 1 , X 2 of A . Let Γ be a subgroup of A ( C ) of finite rational rank. We give doubly exponential bounds for the size of ( X ∩ Γ)\ X ( Ǭ ).
Ehud Hrushovski, Anand Pillay
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