Counting elliptic curves in 𝐾3 surfaces
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Publication:3431390
DOI10.1090/S1056-3911-06-00439-5zbMATH Open1119.14045arXivmath/0405041OpenAlexW1944683942MaRDI QIDQ3431390
Author name not available (Why is that?)
Publication date: 10 April 2007
Published in: (Search for Journal in Brave)
Abstract: We compute the genus one family Gromov-Witten invariants of K3 surfaces for non-primitive classes. These calculations verify Gottsche-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.
Full work available at URL: https://arxiv.org/abs/math/0405041
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