Holomorphic symplectic geometry: a problem list

By A. Beauville. 2010

51 citations recorded by the source corpus.

The usual structures of symplectic geometry (symplectic, contact, Poisson) make sense for complex manifolds; they turn out to be quite interesting on projective, or compact Kahler, manifolds. In these notes we review some of the recent results on the subject, with emphasis on the open problems and conjectures.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/4bb44a0665537af53f09d0366db754f4f0717104

Citations in the corpus

• Projectivity and birational geometry of Bridgeland moduli spaces (2012, unknown): “The “Tyurin–Bogomolov–Hassett-Tschinkel–Huybrechts–Sawon Conjecture” would imply that in this case, the Hilbert scheme admits a birational model with a Lagrangian fibration; we refer to [80] for some discussion of the history of the conjecture, and [9] for some context.”
• MMP for moduli of sheaves on K3s via wall-crossing: nef and movable cones, Lagrangian fibrations (2013, unknown): “On a question of Beauville, 2011.”