Mmp for Moduli of Sheaves on K 3 S via Wall-crossing : Nef and Movable Cones , Lagrangian Fibrations

  title={Mmp for Moduli of Sheaves on K 3 S via Wall-crossing : Nef and Movable Cones , Lagrangian Fibrations},
  author={Arend Bayer and E. Macr{\`i} and A BSTRACT},
We use wall-crossing with respect to Bridgeland stability conditions to systematically study the birational geometry of a moduli space M of stable sheaves on a K3 surface X: (a) We describe the nef cone, the movable cone, and the effective cone of M in terms of the Mukai lattice of X . (b) We establish a long-standing conjecture that predicts the existence of a birational Lagrangian fibration on M whenever M admits an integral divisor class D of square zero (with respect to the Beauville… CONTINUE READING
Highly Cited
This paper has 25 citations. REVIEW CITATIONS


Publications referenced by this paper.
Showing 1-10 of 80 references

and Kōta Yoshioka

  • Hiroki Minamide, Shintarou Yanagida
  • Some moduli spaces of Bridgeland’s stability…
  • 2011
Highly Influential
7 Excerpts


  • M. Gross, D. Huybrechts, D. Joyce. Calabi-Yau manifolds, related geometries. Universitext. Springer-Verlag, Berlin
  • Lectures from the Summer School held in…
  • 2001
Highly Influential
4 Excerpts

In Handbook of Moduli: Volume I

  • Maksym Fedorchuk, David Ishii Smyth. Alternate compactifications of moduli curves
  • editors G. Farkas and I. Morrison, volume 24 of…
  • 2013
Highly Influential
1 Excerpt

On some moduli of complexes

  • Jason Lo
  • on K3 surfaces,
  • 2012
Highly Influential
3 Excerpts

Talk given at “Hyper-Kähler Geometry

  • Daisuke Matsushita
  • Simons Center for Geometry and Physics,
  • 2012
Highly Influential
4 Excerpts

Turkish J

  • Justin Sawon. Abelian fibred holomorphic symplectic manifolds
  • Math., 27(1):197–230,
  • 2003
Highly Influential
3 Excerpts

A note on the Kähler and Mori cones of manifolds of K3

  • Giovanni Mongardi
  • 2013


  • Antony Maciocia, Ciaran Meachan. Rank one Bridgeland stable moduli spaces Not
  • 9:2054–2077,
  • 2013

Similar Papers

Loading similar papers…