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math.CO2016★ 3 cited
Discrete Mixed Volume and Hodge-Deligne Numbers
Sandra Di Rocco, Christian Haase, Benjamin Nill
Generalizing the famous Bernstein-Kushnirenko Theorem, Khovanskii proved in 1978 a combinatorial formula for the arithmetic genus of the compactification of a generic complete inte…
math.CO2011★ 13 cited
Polyhedral adjunction theory
Sandra Di Rocco, Christian Haase, Benjamin Nill +1
In this paper we give a combinatorial view on the adjunction theory of toric varieties. Inspired by classical adjunction theory of polarized algebraic varieties we define two conve…