Lattice Size in Higher Dimension
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866915554885894144 |
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| author | Alajmi, Abdulrahman Chakravarty, Sayok Kaplan, Zachary Soprunova, Jenya |
| author_facet | Alajmi, Abdulrahman Chakravarty, Sayok Kaplan, Zachary Soprunova, Jenya |
| contents | The lattice size of a lattice polytope is a geometric invariant which was formally introduced in the context of simplification of the defining equation of an algebraic curve, but appeared implicitly earlier in geometric combinatorics. Previous work on the lattice size was devoted to studying the lattice size in dimension 2 and 3. In this paper we establish explicit formulas for the lattice size of a family of lattice simplices in arbitrary dimension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_00712 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Lattice Size in Higher Dimension Alajmi, Abdulrahman Chakravarty, Sayok Kaplan, Zachary Soprunova, Jenya Combinatorics 11H06, 52B20, 52C07 The lattice size of a lattice polytope is a geometric invariant which was formally introduced in the context of simplification of the defining equation of an algebraic curve, but appeared implicitly earlier in geometric combinatorics. Previous work on the lattice size was devoted to studying the lattice size in dimension 2 and 3. In this paper we establish explicit formulas for the lattice size of a family of lattice simplices in arbitrary dimension. |
| title | Lattice Size in Higher Dimension |
| topic | Combinatorics 11H06, 52B20, 52C07 |
| url | https://arxiv.org/abs/2209.00712 |