Add to ORKGIn this talk, I will discuss a variety of results on existence of points and subspaces of bounded height, possibly satisfying some additional algebraic conditions, in linear and quadratic spaces over global fields and rings. These results represent some of the recent developments on extensions and generalizations of such classical Diophantine theorems as Siegel\u27s lemma and Cassels\u27 theorem on small zeros of quadratic forms
AbstractLet K be a number field, and let W be a subspace of KN, N⩾1. Let V1,…,VM be subspaces of KN ...
Let K be a number field, Q, or the field of rational functions on a smooth projective curve over a p...
We consider multivariable polynomials over a fixed number field, linear in some of the variables. Fo...
In this survey paper, we discuss the classical Cassels\u27 theorem on existence of small-height zero...
International audienceWe study quadratic forms defined on an adelic vector space over an algebraic e...
Siegel\u27s lemma in its simplest form is a statement about the existence of small-size solutions t...
A celebrated theorem of Cassels (1955) asserts that an integral quadratic form, which is isotropic o...
International audienceWe study quadratic forms defined on an adelic vector space over an algebraic e...
International audienceWe study quadratic forms defined on an adelic vector space over an algebraic e...
A celebrated theorem of Cassels (1955) asserts that an integral quadratic form, which is isotropic o...
A classical theorem of Cassels (1955) asserts that if an integral quadratic form is isotropic over ...
Abstract. Let K be a global field or Q, F a nonzero quadratic form on KN, N ≥ 2, and V a subspace of...
textWe treat a few related problems about the existence of algebraic points of small height that sa...
textWe treat a few related problems about the existence of algebraic points of small height that sa...
In this paper we establish three results on small-height zeros of quadratic polynomials over Q. For ...
AbstractLet K be a number field, and let W be a subspace of KN, N⩾1. Let V1,…,VM be subspaces of KN ...
Let K be a number field, Q, or the field of rational functions on a smooth projective curve over a p...
We consider multivariable polynomials over a fixed number field, linear in some of the variables. Fo...
In this survey paper, we discuss the classical Cassels\u27 theorem on existence of small-height zero...
International audienceWe study quadratic forms defined on an adelic vector space over an algebraic e...
Siegel\u27s lemma in its simplest form is a statement about the existence of small-size solutions t...
A celebrated theorem of Cassels (1955) asserts that an integral quadratic form, which is isotropic o...
International audienceWe study quadratic forms defined on an adelic vector space over an algebraic e...
International audienceWe study quadratic forms defined on an adelic vector space over an algebraic e...
A celebrated theorem of Cassels (1955) asserts that an integral quadratic form, which is isotropic o...
A classical theorem of Cassels (1955) asserts that if an integral quadratic form is isotropic over ...
Abstract. Let K be a global field or Q, F a nonzero quadratic form on KN, N ≥ 2, and V a subspace of...
textWe treat a few related problems about the existence of algebraic points of small height that sa...
textWe treat a few related problems about the existence of algebraic points of small height that sa...
In this paper we establish three results on small-height zeros of quadratic polynomials over Q. For ...
AbstractLet K be a number field, and let W be a subspace of KN, N⩾1. Let V1,…,VM be subspaces of KN ...
Let K be a number field, Q, or the field of rational functions on a smooth projective curve over a p...
We consider multivariable polynomials over a fixed number field, linear in some of the variables. Fo...