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math.AG2025
Clifford spaces of empty intersections of quadrics
Alexander Kuznetsov
Given a linear space of quadrics in a projective space whose intersection is empty, we consider the corresponding Clifford space --…
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…