Toric Hilbert schemes

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15 February 2002 Toric Hilbert schemes

Irena Peeva, Mike Stillman

Abstract

We introduce and study the toric Hilbert scheme that parametrizes all ideals with the same multigraded Hilbert function as a given toric ideal.

Irena Peeva. Mike Stillman. "Toric Hilbert schemes." Duke Math. J. 111 (3) 419 - 449, 15 February 2002. https://doi.org/10.1215/S0012-7094-02-11132-6

Published: 15 February 2002

First available in Project Euclid: 18 June 2004

MathSciNet: MR1885827

Digital Object Identifier: 10.1215/S0012-7094-02-11132-6

Subjects:

Primary: 14C05

Secondary: 13D40 , 14M25

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