词条 | Labs septic |
释义 |
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
References
| 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}}
|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}}
| 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
1 : Algebraic surfaces |
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