|
| |
|
|
A046001
|
|
Maximal number of ordinary double points on an n-th degree algebraic surface in complex projective 3-space.
|
|
0
| | |
|
|
|
OFFSET
| 1,3
|
|
|
REFERENCES
| S. Endrass, Flaechen mit vielen Doppelpunkten. DMV-Mitteilungen 4 (April 1995), 17-20.
|
|
|
LINKS
| S. Endrass, Surfaces with many ordinary nodes
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
|
|
|
EXAMPLE
| For n = 3 there is a unique surface of degree 3 with 4 double points, Cayley's cubic: 4(w^3+x^3+y^3+z^3) = (w+x+y+z)^3.
|
|
|
CROSSREFS
| Sequence in context: A173019 A031003 A036345 * A031050 A119677 A126032
Adjacent sequences: A045998 A045999 A046000 * A046002 A046003 A046004
|
|
|
KEYWORD
| nonn,nice,hard
|
|
|
AUTHOR
| Eric Weisstein (eric(AT)weisstein.com)
|
|
|
EXTENSIONS
| For n >= 7 lower bounds are 93,168,216,345; upper bounds are 104, 174, 246, 360
|
| |
|
|