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 Yoichi Miyaoka showed that it is at most 645.
Sarti has also found sextic, octic and dodectic nodal surfaces with high numbers of nodes and high degrees of symmetry.
Miyaoka, Yoichi (1984), "The maximal number of quotient singularities on surfaces with given numerical invariants", Mathematische Annalen, 268 (2): 159–171, doi:10.1007/bf01456083, MR 0744605, S2CID 121817163
sarti, surface, algebraic, geometry, degree, nodal, surface, with, nodes, found, alessandra, sarti, 2008, maximal, possible, number, nodes, degree, surface, known, 2015, though, yoichi, miyaoka, showed, that, most, sarti, also, found, sextic, octic, dodectic, . 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 Yoichi Miyaoka showed that it is at most 645 Sarti has also found sextic octic and dodectic nodal surfaces with high numbers of nodes and high degrees of symmetry Sextic with 48 node Sextic with 48 node Octic with 72 nodes Octic with 144 nodes Dodectic surface with 360 nodes 3D model of Sarti surfaceSee also EditNodal surfaceReferences EditSarti Alessandra 1 December 2001 Pencils of Symmetric Surfaces in P3 Journal of Algebra 246 1 429 452 arXiv math 0106080 doi 10 1006 jabr 2001 8953 ISSN 0021 8693 S2CID 17214934 Sarti Alessandra 2008 Symmetrische Flachen mit gewohnlichen Doppelpunkten Mathematische Semesterberichte 55 1 1 5 doi 10 1007 s00591 007 0030 2 ISSN 0720 728X MR 2379658 S2CID 122576773 Miyaoka Yoichi 1984 The maximal number of quotient singularities on surfaces with given numerical invariants Mathematische Annalen 268 2 159 171 doi 10 1007 bf01456083 MR 0744605 S2CID 121817163External links Edit Sarti surfaces Weisstein Eric W Sarti Dodecic MathWorld Retrieved from https en wikipedia org w index php title Sarti surface amp oldid 1037583212, wikipedia, wiki, book, books, library,
