27 citations · 133 across the 37 of their papers we have counts for
41 papers · 1 filter
Invariant rings of the special orthogonal group have nonunimodal -vectors
Aldo Conca, Anurag K. Singh, Matteo Varbaro
For an infinite field of characteristic other than two, consider the action of the special orthogonal group on a polynomial ring via copies of the regu…
Ladder determinantal varieties and their symbolic blowups
Alessandro De Stefani, Jonathan Montaño, Luis Núñez-Betancourt +2
In this article we show that the symbolic Rees algebra of a mixed ladder determinantal ideal is strongly -regular. Furthermore, we prove that the symbolic associated graded alge…
Lefschetz duality for local cohomology
Matteo Varbaro, Hongmiao Yu
Since the 1974 paper by Peskine and Szpiro, liaison theory via complete intersections, and more generally via Gorenstein varieties, has become a standard tool kit in commutative al…
Castelnuovo-Mumford regularity and powers
Winfried Bruns, Aldo Conca, Matteo Varbaro
This note has two goals. The first is to give a short and self contained introduction to the Castelnuovo-Mumford regularity for standard graded ring over a general base ring. T…
Gröbner deformation and -singularities
Mitra Koley, Matteo Varbaro
For polynomial ideals in positive charachteristic, defining -split rings and admitting a squarefree monomial initial ideal are different notions. In this note we show that, howe…
Singularities and radical initial ideals
Alexandru Constantinescu, Emanuela De Negri, Matteo Varbaro
What kind of reduced monomial schemes can be obtained as a Gröbner degeneration of a smooth projective variety? Our conjectured answer is: only Stanley-Reisner schemes associated t…