Labs septic

{{Short description|Algebraic surface with 99 nodes}} 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|Varchenko|1983}}.<ref>The upper bound in degree 7 given by {{harvtxt|Giventalʹ|1983}} is 106.</ref>

thumb|3D model of affine chart of the real Labs septic

==References== {{Reflist}} *{{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. Semin. 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|date=4 October 2007 }}

Category:Algebraic surfaces