Elliptic Calabi-Yau threefolds over a del Pezzo surface

Rose, Simon; Yui, Noriko

doi:10.1007/978-3-319-43648-7_12

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Elliptic Calabi-Yau threefolds over a del Pezzo surface

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Yui, Noriko
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1007/978-3-319-43648-7_12
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arXiv:1312.0911.pdf
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Citation

Rose, S., & Yui, N. (2016). Elliptic Calabi-Yau threefolds over a del Pezzo surface. In Arbeitstagung Bonn 2013: In Memory of Friedrich Hirzebruch (pp. 337-354). Cham: Birkhäuser.

Cite as: https://hdl.handle.net/21.11116/0000-0004-6A3C-3

Abstract

We consider certain elliptic threefolds over the projective plane (more generally over certain rational surfaces) with a section in Weierstrass normal form. In particular, over a del Pezzo surface of degree 8, these elliptic threefolds are Calabi–Yau threefolds. We will discuss especially the generating functions of
Gromov–Witten and Gopakumar–Vafa invariants.