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Discrete Mixed Volume and Hodge-Deligne Numbers | | Sandra Di Rocco
; Christian Haase
; Benjamin Nill
; | | Date: |
28 Sep 2016 | | Abstract: | Generalizing the famous Bernstein-Kushnirenko Theorem, Khovanskii proved in
1978 a combinatorial formula for the arithmetic genus of the compactification
of a generic complete intersection associated to a family of lattice polytopes.
Recently, an analogous combinatorial formula, called the discrete mixed volume,
was introduced by Bihan and shown to be nonnegative. By making a footnote of
Khovanskii in his paper explicit, we interpret this invariant as the (motivic)
arithmetic genus of the non-compact generic complete intersection associated to
the family of lattice polytopes. | | Source: | arXiv, 1609.9115 | | Services: | Forum | Review | PDF | Favorites | |
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