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词条 Labs septic
释义

  1. See also

  2. References

  3. External links

In mathematics, the Labs septic surface is a degree-7 (septic) nodal surface with 99 nodes found by {{harvtxt|Labs|2006}}. As of 2015, it has the largest known number of nodes of a degree-7 surface, though this number is still less than the best known upper bound of 104 nodes given by {{harvtxt|Giventalʹ|1983}} and {{harvtxt|Varchenko|1983}}.

See also

  • Barth surface
  • Endrass surface
  • Sarti surface
  • Togliatti surface

References

  • {{citation

| last = Giventalʹ | first = A. B. | authorlink = Alexander Givental
| issue = 3
| journal = Funktsionalʹnyĭ Analiz i ego Prilozheniya
| mr = 714227
| pages = 73–74
| title = The maximum number of singular points on a projective hypersurface
| volume = 17
| year = 1983}}
  • {{citation|mr=2287352 |arxiv=math/0409348

|last=Labs|first= Oliver
|title=A septic with 99 real nodes
|journal=Rend. Sem. Mat. Univ. Padova|volume= 116 |year=2006|pages= 299–313 |bibcode=2004math......9348L}}
  • {{citation

| last = Varchenko | first = A. N. | authorlink = Alexander Varchenko
| issue = 6
| journal = Doklady Akademii Nauk SSSR
| mr = 712934
| pages = 1294–1297
| title = Semicontinuity of the spectrum and an upper bound for the number of singular points of the projective hypersurface
| volume = 270
| year = 1983}}

External links

  • {{citation|url=https://www.youtube.com/watch?v=ufBTEICXKkI|title=video of Labs septic|last=Bothmer}}
{{algebraic-geometry-stub}}

1 : Algebraic surfaces

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