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math.AG2022
The unreasonable effectiveness of wall-crossing in algebraic geometry
Arend Bayer, Emanuele Macrì
We survey applications of Bridgeland stability conditions in algebraic geometry and discuss open questions for future research.
math.AG2022★ 2 cited
Computing Riemann-Roch polynomials and classifying hyper-Kähler fourfolds
Olivier Debarre, Daniel Huybrechts, Emanuele Macrì +1
We prove that a hyper-Kähler fourfold satisfying a mild topological assumption is of K3 deformation type. This proves in particular a conjecture of O'Grady stating that hyp…