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Mathematics > Algebraic Geometry

arXiv:2210.01317 (math)
[Submitted on 4 Oct 2022 (v1), last revised 4 Dec 2022 (this version, v2)]

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

Authors:Hosung Kim, Yongnam Lee
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Abstract:In this paper, we show that there is a natural Lagrangian fibration structure on the map $\Phi$ from the cotangent bundle of a del Pezzo surface $X$ of degree 4 to $\mathbb C^2$. Moreover, we describe explicitly all level surfaces of the above natural map $\Phi$.
Comments: 24 pages; Remark 2.8 is modified and references are added
Subjects: Algebraic Geometry (math.AG)
MSC classes: 14J60, 14J26, 53D12
Cite as: arXiv:2210.01317 [math.AG]
  (or arXiv:2210.01317v2 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.2210.01317

Submission history

From: Hosung Kim [view email]
[v1] Tue, 4 Oct 2022 02:21:17 UTC (23 KB)
[v2] Sun, 4 Dec 2022 09:14:42 UTC (24 KB)
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