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arxiv: 1312.0911 · v1 · pith:JFUQGXFXnew · submitted 2013-12-03 · 🧮 math.AG

Elliptic Calabi-Yau threefolds over a del Pezzo surface

classification 🧮 math.AG
keywords threefoldsellipticcalabi-yaucertainpezzosurfaceconsiderdegree
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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.

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