Endrass surface
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In algebraic geometry, an Endrass surface is a nodal surface of degree 8 with 168 real nodes, found by Stephan Endrass (1997).[1] (As of 2007), it remained the record-holder for the most number of real nodes for its degree;[2] however, the best proven upper bound, 174, does not match the lower bound given by this surface.[2][3]
See also
References
- ↑ Endrass, Stephan (1997), "A projective surface of degree eight with 168 nodes", Journal of Algebraic Geometry 6 (2): 325–334, ISSN 1056-3911, Bibcode: 1995alg.geom..7011E
- ↑ 2.0 2.1 Breske, Sonja; Labs, Oliver; van Straten, Duco (2007). "Real line arrangements and surfaces with many real nodes". in Jüttler, Bert; Piene, Ragni. Geometric Modeling and Algebraic Geometry. Springer. pp. 47–54. ISBN 9783540721857. Bibcode: 2005math......7234B. https://books.google.com/books?id=1wNGq87gWykC&pg=PA47.
- ↑ "The maximal number of quotient singularities on surfaces with given numerical invariants". Mathematische Annalen 268 (2): 159–171. 1984. doi:10.1007/BF01456083.
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