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Endrass surface

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Mathematical object in algebraic geometry

In algebraic geometry, an Endrass surface is a nodal surface of degree 8 with 168 real nodes, found by Stephan Endrass (1997). This is the most real nodes known for its degree; however, the best proven upper bound, 174, does not match the lower bound given by this surface.

See also

References

  1. Endrass, Stephan (1997), "A projective surface of degree eight with 168 nodes", Journal of Algebraic Geometry, 6 (2): 325–334, arXiv:alg-geom/9507011, Bibcode:1995alg.geom..7011E, ISSN 1056-3911, MR 1489118
  2. ^ Breske, Sonja; Labs, Oliver; van Straten, Duco (2007). "Real line arrangements and surfaces with many real nodes". In Jüttler, Bert; Piene, Ragni (eds.). Geometric Modeling and Algebraic Geometry. Springer. pp. 47–54. arXiv:math/0507234. Bibcode:2005math......7234B. ISBN 9783540721857.
  3. 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.
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