Upper bounds for the number of variables necessary to imply the existence of an m -dimensional linear variety on the intersection of r cubic hypersurfaces over local and global fields are given.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/41633/1/605_2006_Article_BF02349626.pd
This thesis is a collection of various results related to the arithmetic of K3 surfaces and hypersur...
Let be a quadratic form in variables defined on a vector space over a global field , and be a fi...
In this paper, we first determine the minimum possible size of an Fq-linear set of rank k in PG(1,qn...
Abstract. Upper bounds for the number of variables necessary to imply the existence of an m-dimensio...
Let k = F-q(t) be the rational function fi eld over F-q and f(x) is an element of k[x(1),..., x(s)] ...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135196/1/blms0556.pd
For a given form we apply the circle method in order to give an asymptotic estimate of the number of...
Let S be a smooth n-dimensional cubic variety over a field K and suppose that K is finitely generate...
Recently, Corvaja and Zannier obtained an extension of the Subspace Theorem with arbitrary homogeneo...
We consider a system of R cubic forms in n variables, with integer coefficients, which define a smoo...
We use recent results about linking the number of zeros on algebraic varieties over $\mathbb{C}$, de...
Let K be a number field, Q, or the field of rational functions on a smooth projective curve over a p...
We prove a new Elekes-Szab\'o type estimate on the size of the intersection of a Cartesian product $...
The aim of this paper is to investigate the intersection problem between two linear sets in the proj...
AbstractIn the construction of sets of orthogonal Latin hypercubes and in the study of finite projec...
This thesis is a collection of various results related to the arithmetic of K3 surfaces and hypersur...
Let be a quadratic form in variables defined on a vector space over a global field , and be a fi...
In this paper, we first determine the minimum possible size of an Fq-linear set of rank k in PG(1,qn...
Abstract. Upper bounds for the number of variables necessary to imply the existence of an m-dimensio...
Let k = F-q(t) be the rational function fi eld over F-q and f(x) is an element of k[x(1),..., x(s)] ...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135196/1/blms0556.pd
For a given form we apply the circle method in order to give an asymptotic estimate of the number of...
Let S be a smooth n-dimensional cubic variety over a field K and suppose that K is finitely generate...
Recently, Corvaja and Zannier obtained an extension of the Subspace Theorem with arbitrary homogeneo...
We consider a system of R cubic forms in n variables, with integer coefficients, which define a smoo...
We use recent results about linking the number of zeros on algebraic varieties over $\mathbb{C}$, de...
Let K be a number field, Q, or the field of rational functions on a smooth projective curve over a p...
We prove a new Elekes-Szab\'o type estimate on the size of the intersection of a Cartesian product $...
The aim of this paper is to investigate the intersection problem between two linear sets in the proj...
AbstractIn the construction of sets of orthogonal Latin hypercubes and in the study of finite projec...
This thesis is a collection of various results related to the arithmetic of K3 surfaces and hypersur...
Let be a quadratic form in variables defined on a vector space over a global field , and be a fi...
In this paper, we first determine the minimum possible size of an Fq-linear set of rank k in PG(1,qn...