Lagrangian fibration structure on the cotangent bundle of a del Pezzo surface of degree 4

2022/10/04 by Hosung Kim, Kim, Hosung, Yongnam Lee +1 · 1 citation
Mathematics · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Algebraic Geometry and Number Theory

paper · pdf · doi:10.48550/arxiv.2210.01317

Abstract

In this paper, we show that there is a natural Lagrangian fibration structure on the map Φ from the cotangent bundle of a del Pezzo surface X of degree 4 to \mathbb C². Moreover, we describe explicitly all level surfaces of the above natural map Φ.

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