5 papers
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…
Regularity, singularities and -vector of graded algebras
Hailong Dao, Linquan Ma, Matteo Varbaro
Let be a standard graded algebra over a field. We investigate how the singularities of affect its -vector, which is the coefficients of the numerator of its Hilbert seri…
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…
A Gorenstein criterion for strongly -regular and log terminal singularities
Anurag K. Singh, Shunsuke Takagi, Matteo Varbaro
A conjecture of Hirose, Watanabe, and Yoshida offers a characterization of when a standard graded strongly -regular ring is Gorenstein, in terms of an -pure threshold. We pro…