A364712 Number of families of non-toric log del Pezzo surfaces of Picard number one with Gorenstein index = n that admit an effective action of a one-dimensional torus.

13, 10, 36, 25, 80, 37, 100, 56, 109, 71, 176, 85, 158, 105, 200, 102, 226, 102, 241, 178, 253, 150, 312, 176, 269, 149, 336, 224, 395, 192, 309, 216, 381, 207, 592, 230, 336, 239, 497, 312, 481, 266, 405, 348, 526, 270, 549, 317, 497, 277, 570, 354, 532, 334

Offset

1,1

Comments

This sequence appears in Proposition 7.1, p. 27 of Haettig, Hafner, Hausen and Springer.

Links

Justus Springer, Table of n, a(n) for n = 1..200

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.

Daniel Hättig, Jürgen Hausen, Justus Springer and Hendrik Süß, Log del Pezzo surfaces with torus action - a searchable database

Crossrefs

Cf. A145582, A145581.

Sequence in context: A180864 A206608 A094813 * A152298 A158956 A259663

Adjacent sequences: A364709 A364710 A364711 * A364713 A364714 A364715

Keyword

nonn

Author

Justus Springer, Aug 04 2023

Status

approved