OFFSET
1,1
COMMENTS
A145581(n) is the number of toric log del Pezzo surfaces with index L = n. Both are in the table for Theorem 1.2, p. 4 of Kasprzyk, Kreuzer and Nill.
LINKS
Justus Springer, Table of n, a(n) for n = 1..5000
Andreas Bäuerle, Sharp volume and multiplicity bounds for Fano simplices, arXiv:2308.12719 [math.CO], 2023.
Andreas Bäuerle, Classification of Fano simplices
Daniel Haettig, Beatrice Hafner, Juergen Hausen and Justus Springer, Del Pezzo surfaces of Picard number one admitting a torus action, arXiv:2207.14790 [math.AG], 2022. [see Proposition 7.1, p. 27]
Daniel Hättig, Jürgen Hausen, Justus Springer and Hendrik Süß, Log del Pezzo surfaces with torus action - a searchable database
Alexander M. Kasprzyk, Maximilian Kreuzer and Benjamin Nill, On the combinatorial classification of toric log del Pezzo surfaces, LMS J. Comput. Math. 13 (2010) 33-46; arXiv:0810.2207 [math.AG], 2008.
Alexander M. Kasprzyk and Benjamin Nill, Chapter 17 Fano polytopes, in: Strings, Gauge Fields, And The Geometry Behind, World Scientific, 2012. See p. 359.
CROSSREFS
KEYWORD
nonn
AUTHOR
Jonathan Vos Post, Oct 14 2008
EXTENSIONS
a(17) from Kasprzyk and Nill (2012) added by Andrey Zabolotskiy, Feb 17 2020
a(18)-a(200) from Haettig, Hafner, Hausen and Springer (2022) added by Justus Springer, Aug 04 2023
a(201)-a(1000) from Bäuerle's data, added by Andrey Zabolotskiy, Oct 01 2023
a(1001)-a(5000) computed using Bäuerle's algorithm, added by Justus Springer, Apr 15 2024
STATUS
approved