Hellenica World

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In algebraic geometry, a Sarti surface is a degree 12 nodal surface with 600 nodes, found by Alessandra Sarti (2008). The maximal possible number of nodes of a degree 12 surface is not known (as of 2015) though Miyaoka showed that it is at most 645.

Barth surface
Endrass surface
Togliatti surface

References

Sarti, Alessandra (2008), "Symmetrische Flächen mit gewöhnlichen Doppelpunkten", Mathematische Semesterberichte 55 (1): 1–5, doi:10.1007/s00591-007-0030-2, ISSN 0720-728X, MR 2379658
Miyaoka, Yoichi (1984), "The maximal Number of Quotient Singularities on Surfaces with Given Numerical Invariants", Mathematische Annalen 268 (2): 159–171
Endraß, Stephan (2003), The Sarti surface