Local equations for the toric Hilbert scheme

Authors
Peeva, I Stillman, M
Citation
I. Peeva et M. Stillman, Local equations for the toric Hilbert scheme, ADV APPL MA, 25(4), 2000, pp. 307-321
Citations number
13
Categorie Soggetti
Mathematics
Journal title
ADVANCES IN APPLIED MATHEMATICS
ISSN journal
01968858 → ACNP
Volume
25
Issue
4
Year of publication
2000
Pages
307 - 321
Database
ISI
SICI code
0196-8858(200011)25:4<307:LEFTTH>2.0.ZU;2-0
Abstract
We obtain local equations for the toric Hilbert scheme, which parametrizes all ideals with the same multigraded Hilbert function as a given toric idea l. We also prove a conjecture of Sturmfels' providing a criterion for an id eal to have such a Hilbert function. (C) 2000 Academic Press.