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math.AG2025
Mukai models of Fano varieties
Arend Bayer, Alexander Kuznetsov, Emanuele Macrì
We give a self-contained and simplified proof of Mukai's classification of prime Fano threefolds of index 1 and genus with at most Gorenstein factorial terminal singulari…
math.AG2024
Mukai bundles on Fano threefolds
Arend Bayer, Alexander Kuznetsov, Emanuele Macrì
We give a proof of Mukai's Theorem on the existence of certain exceptional vector bundles on prime Fano threefolds. To our knowledge this is the first complete proof in the literat…
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.