Name: Apostolos Thoma
Title: On the bounds of the binomial arithmetical rank
for simplicial toric varieties.
Abstract: This is a joint work with Margherita Barile and Marcel Morales.
Let $V$ be a simplicial toric variety. The ideal of a toric variety is a prime
binomial ideal. The binomial arithmetical rank of a binomial ideal $I$ is the
smallest integer $s$ for which there exist binomials $f_1, \dots , f_s$ in $I$
such that $rad(I)=rad(f_1, \dots , f_s)$. The binomial arithmetical rank is
an upper bound for the arithmetical rank of a binomial ideal.
The talk will discuss about upper bounds for the binomial arithmetical rank
of the ideals of simplicial toric varieties.