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

Let [Formula: see text] be a del Pezzo surface of degree 4, and let [Formula: see text] be the cotangent bundle of [Formula: see text]. In this paper, we show that there is a natural map [Formula: see text] admitting Lagrangian fibration structure. Moreover, we explicitly describe all fibers of [Formula: see text].

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Publication Details

Journal
International Journal of Mathematics
Published
2025-10-31
DOI
https://doi.org/10.1142/s0129167x26500060
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

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

H. Kim, Yongnam Lee
International Journal of Mathematics
Algebraic Geometry and Number Theory
article

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

H. Kim, Yongnam Lee
article en

Abstract

Let [Formula: see text] be a del Pezzo surface of degree 4, and let [Formula: see text] be the cotangent bundle of [Formula: see text]. In this paper, we show that there is a natural map [Formula: see text] admitting Lagrangian fibration structure. Moreover, we explicitly describe all fibers of [Formula: see text].

International Journal of MathematicsVol. 37(01)
Changwon National University (KR), Institute for Basic Science (KR)
Openalex Percentile: Top 62%
Algebraic Geometry and Number Theory
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