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Deformations of Codimension 2 Toric Varieties

Published online by Cambridge University Press:  04 December 2007

Vesselin Gasharov  and
Irena Peeva
Vesselin Gasharov
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, U.S.A.
Irena Peeva
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, U.S.A.
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Abstract

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We prove Sturmfels' conjecture that toric varieties of codimension two have no other flat deformations than those obtained by Gröbner basis theory.

Keywords

toric idealtoric Hilbert scheme
Type
Research Article
Information
Compositio Mathematica , Volume 123 , Issue 2 , September 2000 , pp. 225 - 241
Copyright
© 2000 Kluwer Academic Publishers