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| Paper IPM / M / 12010 |
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| Abstract: | |
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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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