A331445 Complete list of numbers of twisted cubics on a general Calabi-Yau threefold which is a complete intersection in some projective space.

317206375, 15655168, 6424326, 1611504, 416256

Offset

1,1

Comments

There are exactly five types of such threefolds: the quintic in P^4, the complete intersections (3, 3) and (2, 4) in P^5, the complete intersection (2, 2, 3) in P^6 and finally (2, 2, 2, 2) in P^7. The counts are listed in that order.

Links

Table of n, a(n) for n=1..5.

Geir Ellingsrud and Stein Arild Stromme, Bott's formula and enumerative geometry, J. Amer. Math. Soc. 9 (1996), 175-193; arXiv:alg-geom/9411005, 1994. See Th. 1.1.

Crossrefs

Sequence in context: A219784 A105005 A157789 * A331446 A184573 A112429

Adjacent sequences: A331442 A331443 A331444 * A331446 A331447 A331448

Keyword

nonn,fini,full

Author

N. J. A. Sloane, Jan 22 2020

Status

approved