Syzygies in Hilbert schemes of complete intersections

Autor:	Giulio Caviglia, Alessio Sammartano
Rok vydání:	2023
Předmět:	Mathematics - Algebraic Geometry Mathematics::Algebraic Geometry Algebra and Number Theory Mathematics::Commutative Algebra FOS: Mathematics Commutative Algebra (math.AC) Mathematics - Commutative Algebra Algebraic Geometry (math.AG) 13D02 13C40 13F55 14C05
Zdroj:	Journal of Algebra. 619:538-557
ISSN:	0021-8693
DOI:	10.1016/j.jalgebra.2022.12.015
Popis:	Let $ e_1, ..., e_c $ be positive integers and let $ Y \subseteq \mathbb{P}^n$ be the monomial complete intersection defined by the vanishing of $x_1^{e_1}, ..., x_c^{e_c}$. In this paper we study sharp upper bounds on the number of equations and syzygies of subschemes parametrized by the Hilbert scheme of points $Hilb^d(Y)$, and discuss applications to the Hilbert scheme of points $Hilb^d(X)$ of arbitrary complete intersections $X \subseteq \mathbb{P}^n$. Final version
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d64fa11fe2586ad0e1d2befe7e3d48b2 https://doi.org/10.1016/j.jalgebra.2022.12.015 Zobrazit plný text záznamu Full Text from ScienceDirect