Margherita Barile

Learn More
We show that for all n ≥ 3 and all primes p there are infinitely many simplicial toric varieties of codimension n in the 2n-dimensional affine space whose minimum number of defining equations is equal to n in characteristic p, and lies between 2n − 2 and 2n in all other characteristics. In particular, these are new examples of varieties which are(More)
We describe a class of toric varieties in the N -dimensional affine space which are minimally defined by no less than N − 2 binomial equations. Introduction The arithmetical rank (ara) of an algebraic variety is the minimum number of equations that are needed to define it set-theoretically. For every affine variety V ⊂ K we have that codimV ≤ araV ≤ N .(More)