AbstractIn the present paper we generalise transference theorems from the classical geometry of numbers to the geometry of numbers over the ring of adeles of a number field. To this end we introduce a notion of polarity for adelic convex bodies
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 20...
AbstractGiven a set of forms f={f1,…,fm}⊂R=k[x1,…,xn], where k is a field of characteristic zero, we...
We prove that for various polarized varieties over $\overline{\mathbb{Q}}$, which broadly includes K...
AbstractIn the present paper we generalise transference theorems from the classical geometry of numb...
We prove that the polar degree of an arbitrarily singular projective hypersurface can be decomposed ...
AbstractWe use tools and methods from real algebraic geometry (spaces of ultrafilters, elimination o...
AbstractIn a work by Artstein-Avidan and Milman the concept of polarity is generalized from the clas...
AbstractLet X be a projective variety defined over an infinite field, equipped with a line bundle L,...
AbstractIn a recent paper, two of the authors used polarities in PG(2d−1,p) (p⩾2 prime, d⩾2) to cons...
This thesis deals with the polar Orlicz-Minkowski problems and the p-capacitary Orlicz-Petty bodies...
The main goal of this thesis is the description of the section ring of a surface R(S,L) = O∞n=0 H0(S...
AbstractWe prove a new bound on the product of the nth successive minimum of an automorphism of GL(N...
We prove that the moduli space $\cal A$11lev of (1,11)-polarized Abelian surfaces with level structu...
For a polarized compleax Abelian surface A we study the function NA(t) counting the number of ellipt...
In an earlier paper we showed that an abelian variety over a number field of fixed degree has a pola...
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 20...
AbstractGiven a set of forms f={f1,…,fm}⊂R=k[x1,…,xn], where k is a field of characteristic zero, we...
We prove that for various polarized varieties over $\overline{\mathbb{Q}}$, which broadly includes K...
AbstractIn the present paper we generalise transference theorems from the classical geometry of numb...
We prove that the polar degree of an arbitrarily singular projective hypersurface can be decomposed ...
AbstractWe use tools and methods from real algebraic geometry (spaces of ultrafilters, elimination o...
AbstractIn a work by Artstein-Avidan and Milman the concept of polarity is generalized from the clas...
AbstractLet X be a projective variety defined over an infinite field, equipped with a line bundle L,...
AbstractIn a recent paper, two of the authors used polarities in PG(2d−1,p) (p⩾2 prime, d⩾2) to cons...
This thesis deals with the polar Orlicz-Minkowski problems and the p-capacitary Orlicz-Petty bodies...
The main goal of this thesis is the description of the section ring of a surface R(S,L) = O∞n=0 H0(S...
AbstractWe prove a new bound on the product of the nth successive minimum of an automorphism of GL(N...
We prove that the moduli space $\cal A$11lev of (1,11)-polarized Abelian surfaces with level structu...
For a polarized compleax Abelian surface A we study the function NA(t) counting the number of ellipt...
In an earlier paper we showed that an abelian variety over a number field of fixed degree has a pola...
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 20...
AbstractGiven a set of forms f={f1,…,fm}⊂R=k[x1,…,xn], where k is a field of characteristic zero, we...
We prove that for various polarized varieties over $\overline{\mathbb{Q}}$, which broadly includes K...