Name
Abstract | ||
|---|---|---|
Generalizing the famous Bernstein–Kushnirenko theorem, Khovanskĭi 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 Khovanskĭi 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. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1016/j.aam.2018.11.002 | Advances in Applied Mathematics |
Keywords | Field | DocType |
14M25,14M10,52B20 | Combinatorics,Arithmetic genus,Complete intersection,Generalization,Pure mathematics,Compactification (physics),Mathematics,Mixed volume | Journal |
Volume | ISSN | Citations |
104 | 0196-8858 | 0 |
PageRank | References | Authors |
0.34 | 2 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sandra Di Rocco | 1 | 15 | 3.68 |
| christian haase | 2 | 1 | 1.11 |
| Benjamin Nill | 3 | 40 | 9.08 |