Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Yairon Cid-Ruiz"'
Publikováno v:
Forum of Mathematics, Sigma, Vol 11 (2023)
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 of multidegrees. We introduce a notion of standardization of ideals th
Externí odkaz:
https://doaj.org/article/1987b736676d46d9b40b51d23a742e57
Publikováno v:
FOUNDATIONS OF COMPUTATIONAL MATHEMATICS
An ideal in a polynomial ring encodes a system of linear partial differential equations with constant coefficients. Primary decomposition organizes the solutions to the PDE. This paper develops a novel structure theory for primary ideals in a polynom
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b33cb121ce675b8aff1c8e958aa67cf1
https://doi.org/10.1007/s10208-020-09485-6
https://doi.org/10.1007/s10208-020-09485-6
Autor:
Yairon Cid-Ruiz, Aron Simis
Publikováno v:
INTERNATIONAL MATHEMATICS RESEARCH NOTICES
One considers the behavior of the degree of a rational map under specialization of the coefficients of the defining linear system. The method rests on the classical idea of Kronecker as applied to the context of projective schemes and their specializ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::edd6cfe67ab7220ea99bb9dd233fc131
https://doi.org/10.1093/imrn/rnaa183
https://doi.org/10.1093/imrn/rnaa183
Autor:
Yairon Cid-Ruiz, Ramkumar, Ritvik
Publikováno v:
Ghent University Academic Bibliography
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 cohomological data. As a consequence, we provide sufficient conditions
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2979da7462f41dd38869bb33df3a05fc
http://arxiv.org/abs/2202.06652
http://arxiv.org/abs/2202.06652
Autor:
Yairon Cid-Ruiz
Publikováno v:
JOURNAL OF COMMUTATIVE ALGEBRA
Let I subset of R = F[x(1), x(2)] be a height two ideal minimally generated by three homogeneous polynomials of the same degree d, where F is a field of characteristic zero. We use the theory of D-modules to deduce information about the defining equa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f4bf2f347d8db68271440f131d9e98a2
https://biblio.ugent.be/publication/8681004
https://biblio.ugent.be/publication/8681004
Autor:
Yairon Cid-Ruiz, Ramkumar, Ritvik
Publikováno v:
Ghent University Academic Bibliography
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-full scheme $\text{Fib}_{\mathcal{F}/X/S}^\mathbf{h}$ is a fine moduli s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cb73eaad5aa37dc1f1e4c151599bfa6e
http://arxiv.org/abs/2108.13986
http://arxiv.org/abs/2108.13986
Autor:
Chen, Justin, Yairon Cid-Ruiz
Publikováno v:
Ghent University Academic Bibliography
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 representation theorem for primary submodules of an arbitrary finitely g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f347553f24d92826b132d0dbe7dae33d
https://doi.org/10.1016/j.jpaa.2022.107080
https://doi.org/10.1016/j.jpaa.2022.107080
Autor:
Yairon Cid-Ruiz
Publikováno v:
Ghent University Academic Bibliography
Let $R$ be a finitely generated positively graded algebra over a Noetherian local ring $B$, and $\mathfrak{m} = [R]_+$ be the graded irrelevant ideal of $R$. We provide a local criterion characterizing the $B$-freeness of all the local cohomology mod
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3f2caa4240bfe75c5714598aa04b04db
http://arxiv.org/abs/2106.07777
http://arxiv.org/abs/2106.07777
Publikováno v:
Ghent University Academic Bibliography
This paper is devoted to the study of multigraded algebras and multigraded linear series. For an $\mathbb{N}^s$-graded algebra $A$, we define and study its volume function $F_A:\mathbb{N}_+^s\to \mathbb{R}$, which computes the asymptotics of the Hilb
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b4dca5c6ff8ace59465c02b3a423a11d
http://arxiv.org/abs/2104.05397
http://arxiv.org/abs/2104.05397
Autor:
Yairon Cid-Ruiz, Bernd Sturmfels
We introduce differential primary decompositions for ideals in a commutative ring. Ideal membership is characterized by differential conditions. The minimal number of conditions needed is the arithmetic multiplicity. Minimal differential primary deco
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::08748a27554d31d78727cc6df5c64057
http://arxiv.org/abs/2101.03643
http://arxiv.org/abs/2101.03643