6 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…
Connected domination in graphs and v-numbers of binomial edge ideals
Delio Jaramillo-Velez, Lisa Seccia
The v-number of a graded ideal is an algebraic invariant introduced by Cooper et al., and originally motivated by problems in algebraic coding theory. In this paper we study the ca…
Binomial edge ideals of weakly closed graphs
Lisa Seccia
Closed graphs have been characterized by Herzog et al. as the graphs whose binomial edge ideals have a quadratic Gröbner basis with respect to a diagonal term order. In this paper,…
Knutson ideals of generic matrices
Lisa Seccia
In this paper we show that determinantal ideals of generic matrices are Knutson ideals. This fact leads to a useful result about Gröbner bases of certain sums of determinantal idea…
Hamiltonian paths, unit-interval complexes, and determinantal facet ideals
Bruno Benedetti, Lisa Seccia, Matteo Varbaro
We study d-dimensional generalizations of three mutually related topics in graph theory: Hamiltonian paths, (unit) interval graphs, and binomial edge ideals. We provide partial hig…
Knutson ideals and determinantal ideals of Hankel matrices
Lisa Seccia
Motivated by a work of Knutson, in a recent paper Conca and Varbaro have defined a new class of ideals, namely "Knutson ideals", starting from a polynomial with squarefree lead…