3 citations · 5 across the 4 of their papers we have counts for
5 papers
Blow-up algebras, determinantal ideals, and Dedekind-Mertens-like formulas
Alberto Corso, Uwe Nagel, Sonja Petrović +1
We investigate Rees algebras and special fiber rings obtained by blowing up specialized Ferrers ideals. This class of monomial ideals includes strongly stable monomial ideals gener…
One higher dimensional analog of jet schemes
Cornelia Yuen
We develop the theory of truncated wedge schemes, a higher dimensional analog of jet schemes. We prove some basic properties and give an irreducibility criterion for truncated wedg…
Jet schemes of determinantal varieties
Cornelia Yuen
This article studies the scheme structure of the jet schemes of determinantal varieties. We show that in general, these jet schemes are not irreducible. In the case of the determin…
Multiplicity of jet schemes of monomial schemes
Cornelia Yuen
This article studies jet schemes of monomial schemes. They are known to be equidimensional but usually are not reduced. We thus investigate their structure further, giving a formul…
On Igusa zeta functions of monomial ideals
Jason Howald, Mircea Mustata, Cornelia Yuen
We show that the real parts of the poles of the Igusa zeta function of a monomial ideal can be computed from the torus-invariant divisors on the normalized blowing-up along the ide…