Bibliography

R. Graham. An efficient algorith for determining the convex hull of a finite planar set. Information Processing Letters 1, 132–133 (1972).

M. Bohnert and J. Springer. Classifying rational polygons with small denominator and few interior lattice points (2024), arXiv:2410.17244 [math.CO].

M. Bohnert. Area bounds for planar convex bodies containing a fixed number of interior integral points (2023), arXiv:2305.11485 [math.MG].

J. Springer. The Picard index of a surface with torus action. Collectanea Mathematica (2024).

D. Hättig, B. Hafner, J. Hausen and J. Springer. Del Pezzo surfaces of Picard number one admitting a torus action. Annali di Matematica Pura ed Applicata (2025).

D. Hättig, J. Hausen and J. Springer. Classifying log del Pezzo surfaces with torus action. Revista Matemática Complutense (2025).

D. A. Cox, J. B. Little and H. K. Schenck. Toric varieties. Vol. 124 of Graduate Studies in Mathematics (American Mathematical Society, Providence, RI, 2011); p. xxiv+841.

R. J. Koelman. The number of moduli of families of curves on toric surfaces. Ph.D. Thesis, University of Nijmegen (1991).

W. Castryck. Moving out the edges of a lattice polygon. Discrete Comput. Geom. 47, 496–518 (2012).

G. Brown and A. M. Kasprzyk. Small polygons and toric codes. J. Symbolic Comput. 51, 55–62 (2013).

A. M. Kasprzyk, M. Kreuzer and B. Nill. On the combinatorial classification of toric log del Pezzo surfaces. LMS J. Comput. Math. 13, 33–46 (2010).

A. Bäuerle. Sharp volume and multiplicity bounds for Fano simplices. Journal of Algebraic Combinatorics 61 (2025).

J. Hausen and K. Király. K-surfaces of Picard number one and integral degree* (2024), arXiv:2411.15079 [math.AG].