Algebraic complete integrability of an integrable system of Beauville

Jun Muk Hwang; Yasunari Nagai

doi:10.5802/aif.2360

Algebraic complete integrability of an integrable system of Beauville

Jun Muk Hwang^*, Yasunari Nagai

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We show that the Beauville's integrable system on a ten dimensional moduli space of sheaves on a K3 surface constructed via a moduli space of stable sheaves on cubic threefolds is algebraically completely integrable, using O'Grady's construction of a symplectic resolution of the moduli space of sheaves on a K3.

Original language	English
Pages (from-to)	559-570
Number of pages	12
Journal	Annales de l'Institut Fourier
Volume	58
Issue number	2
DOIs	https://doi.org/10.5802/aif.2360
Publication status	Published - 2008
Externally published	Yes

Keywords

Integrable system
Moduli space of stable sheaves

ASJC Scopus subject areas

Algebra and Number Theory
Geometry and Topology

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10.5802/aif.2360

Cite this

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abstract = "We show that the Beauville's integrable system on a ten dimensional moduli space of sheaves on a K3 surface constructed via a moduli space of stable sheaves on cubic threefolds is algebraically completely integrable, using O'Grady's construction of a symplectic resolution of the moduli space of sheaves on a K3.",

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AU - Nagai, Yasunari

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AB - We show that the Beauville's integrable system on a ten dimensional moduli space of sheaves on a K3 surface constructed via a moduli space of stable sheaves on cubic threefolds is algebraically completely integrable, using O'Grady's construction of a symplectic resolution of the moduli space of sheaves on a K3.

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KW - Moduli space of stable sheaves

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Algebraic complete integrability of an integrable system of Beauville

Abstract

Keywords

ASJC Scopus subject areas

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