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Counting elliptic curves in  surfaces
Author(s):
Junho
Lee;
Naichung
Conan
Leung
Journal:
J. Algebraic Geom.
15
(2006),
591-601.
Posted:
May 2, 2006
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Abstract |
References |
Additional information
Abstract:
We compute the genus  family GW-invariants of K3 surfaces for non-primitive classes. These calculations verify the Göttsche-Yau-Zaslow formula for non-primitive classes with index two. Our approach is to use the genus two topological recursion formula and the symplectic sum formula to establish relationships among various generating functions.
References:
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Additional Information:
Junho
Lee
Affiliation:
921 D Cherry Lane, East Lansing, Michigan 48823
Email:
leejunho@msu.edu
Naichung
Conan
Leung
Affiliation:
Institute of Mathematical Sciences, The Chinese University of Hong Kong, Shatin, NT, Hong Kong
Email:
leung@ims.cuhk.edu.hk
PII:
S 1056-3911(06)00439-5
Received by editor(s):
April 29, 2004
Received by editor(s) in revised form:
October 9, 2005
Posted:
May 2, 2006
Additional Notes:
The second author is partially supported by NSF/DMS-0103355, CUHK/2060275, and CUHK/2160256.
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