Sarti surface

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title: "Sarti surface" type: doc version: 1 created: 2026-02-28 author: "Wikipedia contributors" status: active scope: public tags: ["algebraic-surfaces", "complex-surfaces"] topic_path: "general/algebraic-surfaces" source: "https://en.wikipedia.org/wiki/Sarti_surface" license: "CC BY-SA 4.0" wikipedia_page_id: 0 wikipedia_revision_id: 0

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In algebraic geometry, a Sarti surface is a degree-12 nodal surface with 600 nodes, found by Alessandra Sarti in 1999 and published by her in 2001. 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.

File:Sarti sextic 48 A.png|Sextic with 48 node File:Sarti sextic 48 (Stabchen).png|Sextic with 48 node File:Sarti's Octic with 72.png|Octic with 72 nodes File:Sarti's octic with 144 nodes.png|Octic with 144 nodes File:Sarti dodectic 360.png|Dodectic surface with 360 nodes File:3D model of Sarti surface.stl|3D model of Sarti surface

References

  • {{citation | last = Sarti | first = Alessandra | author-link = Alessandra Sarti | arxiv = math/0106080 | doi = 10.1006/jabr.2001.8953 | issue = 1 | journal = Journal of Algebra | mr = 1872630 | pages = 429–452 | title = Pencils of symmetric surfaces in \mathbb{P}_3 | volume = 246 | year = 2001}}
  • {{Citation | last1=Sarti | first1=Alessandra | title=Symmetrische Flächen mit gewöhnlichen Doppelpunkten |mr=2379658 | year=2008 | journal=Mathematische Semesterberichte | issn=0720-728X | volume=55 | issue=1 | pages=1–5| doi=10.1007/s00591-007-0030-2| s2cid=122576773 }}

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algebraic-surfacescomplex-surfaces