Sarti surface

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.

See also

• 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 

External links

• Sarti surfaces
• Weisstein, Eric W., "Sarti Dodecic", MathWorld.