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“School of Mathematics”

Paper IPM / M / 12010

School of Mathematics
Title:	Scarf lattice ideals
Author(s):	H. Sabzrou
Status:	Published
Journal:	Port. Math.
No.:	4
Vol.:	68
Year:	2011
Pages:	369-380
Supported by:	IPM

Abstract:

This paper deals with the Scarf property of lattice ideals initiated by Peeva and Sturmfels [10], [11]. We will present a neither generic nor codimension 2 Scarf lattice ideal, and will show that this property gives rise to several algebraic and combinatorial properties. In particular, we will prove that for monomial curves, this property coincides with the notion of genericity, and that certain Scarf lattice ideals can have certain Scarf initial ideals.

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