On the generalized Scarf complex of lattice ideals

Hara Charalambous; Apostolos Thoma

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arXiv · 0901.1208

On the generalized Scarf complex of lattice ideals

Hara Charalambous·Apostolos Thoma

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Abstract

Let $k$ be a field, $ \mathcal{L}\subset \mathbb{Z}^n$ be a lattice such that $Ł\cap \mathbb{N}^n=\{{\bf 0}\}$, and $I_Ł\subset \Bbbk[x_1,..., x_n]$ the corresponding lattice ideal. We present the generalized Scarf complex of $I_Ł$ and show that it is indispensable in the sense that it is contained in every minimal free resolution of $R/I_Ł$.

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Hara Charalambous, Apostolos Thoma. 2009-01-09. On the generalized Scarf complex of lattice ideals. https://arxiv.org/abs/0901.1208

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