27 citations · 133 across the 37 of their papers we have counts for
6 papers · 1 filter
On a conjecture by Kalai
Giulio Caviglia, Alexandru Constantinescu, Matteo Varbaro
We show that monomial ideals generated in degree two satisfy a conjecture by Eisenbud, Green and Harris. In particular we give a partial answer to a conjecture of Kalai by proving…
h-vectors of matroid complexes
Alexandru Constantinescu, Matteo Varbaro
We partition in classes the set of matroids of fixed dimension on a fixed vertex set. In each class we identify two special matroids, respectively with minimal and maximal h-vector…
Generic and special constructions of pure O-sequences
Alexandru Constantinescu, Thomas Kahle, Matteo Varbaro
It is shown that the h-vectors of Stanley-Reisner rings of three classes of matroids are pure O-sequences. The classes are (a) matroids that are truncations of other matroids, or m…
The -pure threshold of a determinantal ideal
Lance Edward Miller, Anurag K. Singh, Matteo Varbaro
The -pure threshold is a numerical invariant of prime characteristic singularities, that constitutes an analogue of the log canonical thresholds in characteristic zero. We compu…
Cohomological and projective dimensions
Matteo Varbaro
In this paper we give an upper bound, in characteristic 0, for the cohomological dimension of a graded ideal in a polynomial ring such that the quotient has depth at least 3. In po…
Maximal minors and linear powers
Winfried Bruns, Aldo Conca, Matteo Varbaro
An ideal I in a polynomial ring S has linear powers if all the powers I^k of I have a linear free resolution. We show that the ideal of maximal minors of a sufficiently general mat…