Mathematics – Commutative Algebra
Scientific paper
2009-01-09
Mathematics
Commutative Algebra
15 pages
Scientific paper
Let $k$ be a field, $ \mathcal{L}\subset \mathbb{Z}^n$ be a lattice such that
$\L\cap \mathbb{N}^n=\{{\bf 0}\}$, and $I_\L\subset \Bbbk[x_1,..., x_n]$ the
corresponding lattice ideal. We present the generalized Scarf complex of $I_\L$
and show that it is indispensable in the sense that it is contained in every
minimal free resolution of $R/I_\L$.
Charalambous Hara
Thoma Apostolos
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