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9 papers · 1 filter
Essential dimension of abelian varieties over number fields
Patrick Brosnan, Ramesh Sreekantan
We affirmatively answer a conjecture in the preprint ``Essential dimension and algebraic stacks,'' proving that the essential dimension of an abelian variety over a number field is…
Mahler measures and computations with regulators
Matilde N. Lalin
In this work we apply the techniques that were developed in [Lalin: An algebraic integration for Mahler measure] in order to study several examples of multivariable polynomials who…
An algebraic integration for Mahler measure
Matilde N. Lalin
There are many examples of several-variable polynomials whose Mahler measure is expressed in terms of special values of polylogarithms. These examples are expected to be related to…
Arithmetic progressions in sets with small sumsets
Jozsef Solymosi
We present an elementary proof that if is a finite set of numbers, and the sumset is small, , along a dense graph , then contains -term arit…
Connected components of moduli stacks of torsors via Tamagawa numbers
K. Behrend, A. Dhillon
Let be a smooth projective geometrically connected curve over a finite field with function field . Let $\G$ be a connected semisimple group scheme over . Under certain hy…
Constructions of Generalized Sidon Sets
Greg Martin, Kevin O'Bryant
We give explicit constructions of sets S with the property that for each integer k, there are at most g solutions to k=s_1+s_2, s_i\in S; such sets are called Sidon sets if g=2 and…