Let e1, . . . , ec be positive integers and let Y subset of Pn be the monomial complete intersection defined by the vanishing of x1^e1 , ..., xc^ec . 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 subset of P^n.
Syzygies in Hilbert schemes of complete intersections
Sammartano Alessio.
2023-01-01
Abstract
Let e1, . . . , ec be positive integers and let Y subset of Pn be the monomial complete intersection defined by the vanishing of x1^e1 , ..., xc^ec . 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 subset of P^n.File in questo prodotto:
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