15 papers
When are tropical multidegrees positive?
Yairon Cid-Ruiz
We study the positivity of the tropical multidegrees of a tropical variety contained in a product of real vector spaces. These multidegrees are obtained by stably intersecting the…
Disconnected multigraded Hilbert schemes on
Yairon Cid-Ruiz
We exhibit an infinite family of disconnected multigraded Hilbert schemes on the biprojective space . More pr…
Mixed Segre zeta functions and their log-concavity
Yairon Cid-Ruiz
We introduce and study the mixed Segre zeta function of a sequence of homogeneous ideals in a polynomial ring. This function is a power series encoding information about the mixed…
Segre classes and integral dependence
Yairon Cid-Ruiz
A fundamental property of Segre classes is their birational invariance. This invariance implies that the Segre class of a closed subscheme only depends on the integral closure of t…
Generic flatness of the cohomology of thickenings
Edoardo Ballico, Yairon Cid-Ruiz, Anurag K. Singh
We prove a generic flatness result for the cohomology of thickenings of a projective scheme that is smooth over a Noetherian domain containing a field of characteristic zero. Our s…
Uniformity in nonreduced rings via Noetherian operators
Yairon Cid-Ruiz, Jack Jeffries
We prove a differential version of the Artin-Rees lemma with the use of Noetherian differential operators. As a consequence, we obtain several uniformity results for nonreduced rin…