12 citations · 37 across the 34 of their papers we have counts for
42 papers
Intersection Product Formulas and Integral Dependence
Yairon Cid-Ruiz, Steven Dale Cutkosky
We prove the intersection product formulas of Gaffney and Gassler for polar multiplicities and Segre numbers over arbitrary Noetherian local rings. For equidimensional and universa…
On the support of double Grothendieck polynomials
Yairon Cid-Ruiz
We prove that the support of every double Grothendieck polynomial is an -convex set. Our main new tool is a rigidity result for the -classes of multiprojective varie…
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…
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…
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…
Syzygies of polymatroidal ideals
Yairon Cid-Ruiz, Jacob P. Matherne, Anna Shapiro
We introduce the cave polynomial of a polymatroid and show that it yields a valuative function on polymatroids. The support of this polynomial after homogenization is again a polym…
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…
Log-concavity of polynomials arising from equivariant cohomology
Yairon Cid-Ruiz, Yupeng Li, Jacob P. Matherne
We study the equivariant cohomology classes of torus-equivariant subvarieties of the space of matrices. For a large class of torus actions, we prove that the polynomials representi…
Multidegrees, families, and integral dependence
Yairon Cid-Ruiz, Claudia Polini, Bernd Ulrich
We study the behavior of multidegrees in families and the existence of numerical criteria to detect integral dependence. We show that mixed multiplicities of modules are upper semi…
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…
Polar multiplicities and integral dependence
Yairon Cid-Ruiz
We provide new criteria for the integrality and birationality of an extension of graded algebras in terms of the general notion of polar multiplicities of Kleiman and Thorup. As an…
Relative mixed multiplicities and mixed Buchsbaum-Rim multiplicities
Yairon Cid-Ruiz
We define and study the natural multigraded extension of the relative multiplicities introduced by Simis, Ulrich and Vasconcelos. We call these new invariants relative mixed multip…
Effective generic freeness and applications to local cohomology
Yairon Cid-Ruiz, Ilya Smirnov
Let be a Noetherian domain and be a finitely generated -algebra. We study several features regarding the generic freeness over of an -module. For an ideal $I \sub…
K-polynomials of multiplicity-free varieties
Federico Castillo, Yairon Cid-Ruiz, Fatemeh Mohammadi +1
We describe the twisted -polynomial of multiplicity-free varieties in a multiprojective setting. More precisely, for multiplicity-free varieties, we show that the support of the…
Multidegrees, prime ideals, and non-standard gradings
Alessio Caminata, Yairon Cid-Ruiz, Aldo Conca
We study several properties of multihomogeneous prime ideals. We show that the multigraded generic initial ideal of a prime has very special properties, for instance, its radical i…
Generalized Jouanolou duality, weakly Gorenstein rings, and applications to blowup algebras
Yairon Cid-Ruiz, Claudia Polini, Bernd Ulrich
We provide a generalization of Jouanolou duality that is applicable to a plethora of situations. The environment where this generalized duality takes place is a new class of rings,…
A local study of the fiber-full scheme
Yairon Cid-Ruiz, Ritvik Ramkumar
We study some of the local properties of the fiber-full scheme, which is a fine moduli space that generalizes the Hilbert scheme by parametrizing closed subschemes with prescribed…
A study of nonlinear multiview varieties
Yairon Cid-Ruiz, Oliver Clarke, Fatemeh Mohammadi
We study the nonlinear generalization of the classical multiview variety, which is a fundamental concept in computer vision. In this paper, we take the first comprehensive step to…
Double Schubert polynomials do have saturated Newton polytopes
Federico Castillo, Yairon Cid-Ruiz, Fatemeh Mohammadi +1
We prove that double Schubert polynomials have the Saturated Newton Polytope property. This settles a conjecture by Monical, Tokcan and Yong. Our ideas are motivated by the theory…
The fiber-full scheme
Yairon Cid-Ruiz, Ritvik Ramkumar
We introduce the fiber-full scheme which can be seen as the parameter space that generalizes the Hilbert and Quot schemes by controlling the entire cohomological data. The fiber-fu…
Fiber-full modules and a local freeness criterion for local cohomology modules
Yairon Cid-Ruiz
Let be a finitely generated positively graded algebra over a Noetherian local ring , and be the graded irrelevant ideal of . We provide a local cri…
Multigraded algebras and multigraded linear series
Yairon Cid-Ruiz, Fatemeh Mohammadi, Leonid Monin
This paper is devoted to the study of multigraded algebras and multigraded linear series. For an -graded algebra , we define and study its volume function $F_A:\ma…
Primary decomposition of modules: a computational differential approach
Justin Chen, Yairon Cid-Ruiz
We study primary submodules and primary decompositions from a differential and computational point of view. Our main theoretical contribution is a general structure theory and a re…