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GORENSTEIN T-SPREAD VERONESE ALGEBRAS

Dinu, Rodica 大阪大学 DOI:10.18910/77237

2020.10

概要

Let S = K[x_1, x_2, . . . , x_n] be the polynomial ring in n variables over a field K. We fix integers d and t. A monomial x_＜i1＞ x_＜i2＞ · · · x_＜id＞ with i_1 ≤ i_2 ≤ · · · ≤ i_d is t-spread if i_j − i_＜j−1＞ ≥ t, for any 2 ≤ j ≤ n. Let I_＜n,d,t＞ be the ideal generated by all t-spread monomials of degree d and let K[I_＜n,d,t＞] be the toric algebra generated by the monomials v with v ∈ G(I_＜n,d,t＞). This generalizes the classical (squarefree)Veronese algebras. The aim of this paper is to characterize the algebras K[I_＜n,d,t＞] which are Gorenstein.

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GORENSTEIN T-SPREAD VERONESE ALGEBRAS

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GORENSTEIN T-SPREAD VERONESE ALGEBRAS

概要

関連論文

Flat convergence of integral currents and the size of rectifiable sets in metric spaces

Lp-Kato class measures and their relations with Sobolev embedding theorems

Birational geometry and compactifications of modular varieties and arithmetic of modular forms

Reconstruction of open subschemes of elliptic curves in positive characteristic by their geometric fundamental groups under some assumptions

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