Birational geometry of Beauville-Mukai systems. I: The rank three and genus two case.

DOI10.1007/s00209-023-03353-zarXiv2207.12603MaRDI QIDQ6090612

Xuqiang Qin, Justin Sawon

Publication date: 17 November 2023

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.12603

zbMATH Keywords

Hilbert schemeswall-crossingBrill-Noether locibirational modelsBeauville-Mukai systems

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Algebraic moduli problems, moduli of vector bundles (14D20) Minimal model program (Mori theory, extremal rays) (14E30) Special divisors on curves (gonality, Brill-Noether theory) (14H51) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08) Holomorphic symplectic varieties, hyper-Kähler varieties (14J42)

Cites Work

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• Birational geometry of singular moduli spaces of O'Grady type
• MMP for moduli of sheaves on \(K3\)s via wall-crossing: nef and movable cones, Lagrangian fibrations
• Variétés kähleriennes dont la première classe de Chern est nulle
• Symplectic structure of the moduli space of sheaves on an abelian or K 3 surface
• Lagrangian families of Jacobians of genus 2 curves
• Abelian fibrations on \(S^{[n}\).]
• Counting rational curves on \(K3\) surfaces
• On Lagrangian fibrations by Jacobians. I
• Hyperkähler SYZ conjecture and semipositive line bundles
• Twisted Fourier-Mukai transforms for holomorphic symplectic four-folds
• Stability conditions on \(K3\) surfaces
• Stability conditions on triangulated categories
• Singular symplectic moduli spaces
• Rational Lagrangian fibrations on punctual Hilbert schemes of \(K3\) surfaces
• Moving and ample cones of holomorphic symplectic fourfolds
• Birational geometry of the Mukai system of rank two and genus two
• ABELIAN FIBRATIONS AND RATIONAL POINTS ON SYMMETRIC PRODUCTS
• On Lagrangian fibrations by Jacobians, II
• Projectivity and birational geometry of Bridgeland moduli spaces
• THE ABELIAN FIBRATION ON THE HILBERT CUBE OF A K3 SURFACE OF GENUS 9
• Tilting in abelian categories and quasitilted algebras
• Automorphisms of Hilbert schemes of points on a generic projective K3 surface
• Lagrangian fibrations on Hilbert schemes of points on K3 surfaces
• On Clifford's theorem for singular curves

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