Fabrizio Zanello

most citedA non-unimodal codimension 3 level

h

-vector

3 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.AC2005★ 3 cited

A non-unimodal codimension 3 level $h$ -vector

Fabrizio Zanello

$(1, 3, 6, 10, 15, 21, 28, 27, 27, 28)$ is a level $h$ -vector! This example answers negatively the open question as to whether all codimension 3 level $h$ -vectors are unimodal. Moreover, us…

math.AC2004

Extending the idea of compressed algebra to arbitrary socle-vectors, II: cases of non-existence

Fabrizio Zanello

This paper is the continuation of the previous work on generalized compressed algebras (GCA's). First we exhibit a new class of socle-vectors $s$ which admit a GCA (whose $h$ -vecto…

math.AC2004

Extending the idea of compressed algebra to arbitrary socle-vectors

Fabrizio Zanello

Fix a codimension $r$ and a socle-vector $s$ . Is there an (entry by entry) maximal $h$ -vector $h$ among the $h$ -vectors of all the (standard graded artinian) algebras having data $…

A non-unimodal codimension 3 level h-vector

Extending the idea of compressed algebra to arbitrary socle-vectors, II: cases of non-existence

Extending the idea of compressed algebra to arbitrary socle-vectors

A non-unimodal codimension 3 level $h$ -vector