Treffer: LDP Polygons and the Number 12 Revisited

Title:
LDP Polygons and the Number 12 Revisited
Authors:
Bücking, Ulrike, Schaller, Karin, Haase, Christian, Wiljes, Jan-Hendrik de
Source:
The Electronic Journal of Combinatorics. 32
Publication Status:
Preprint
Publisher Information:
The Electronic Journal of Combinatorics, 2025.
Publication Year:
2025
Subject Terms:
Mathematics - Algebraic Geometry, Mathematics - Number Theory, lattice point identity, FOS: Mathematics, 52B20 (Primary) 14M25, 11F20, 32J15 (Secondary), Mathematics - Combinatorics, Combinatorics (math.CO), Number Theory (math.NT), LDP Polygons, Algebraic Geometry (math.AG), combinatorial proof
Document Type:
Fachzeitschrift Article
ISSN:
1077-8926
DOI:
10.37236/12783
DOI:
10.48550/arxiv.2309.02339
DOI:
10.17169/refubium-49611
Access URL:
http://arxiv.org/abs/2309.02339
Rights:
CC BY
CC BY ND
Accession Number:
edsair.doi.dedup.....029bf38d44c6ba2bbeec6a4aa6a6e32e
Database:
OpenAIRE

Weitere Informationen

We give a combinatorial proof of a lattice point identity involving a lattice polygon and its dual, generalizing the formula $\operatorname{area}\left(\Delta \right) + \operatorname{area}\left(\Delta^* \right) = 6$ for reflexive $\Delta$. The identity is equivalent to the stringy Libgober-Wood identity for toric log del Pezzo surfaces.