Labs septic

In mathematics, the Labs septic surface is a degree-7 (septic) nodal surface with 99 nodes found by (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 (Varchenko 1983). File:3D model of Real points of the Labs septic.stl

See also

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

References

• "The maximum number of singular points on a projective hypersurface", Funktsionalʹnyĭ Analiz i ego Prilozheniya 17 (3): 73–74, 1983 
• Labs, Oliver (2006), "A septic with 99 real nodes", Rend. Semin. Mat. Univ. Padova 116: 299–313, Bibcode: 2004math......9348L 
• "Semicontinuity of the spectrum and an upper bound for the number of singular points of the projective hypersurface", Doklady Akademii Nauk SSSR 270 (6): 1294–1297, 1983 

External links

• Bothmer, video of Labs septic, https://www.youtube.com/watch?v=ufBTEICXKkI