4 papers · 1 filter
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 --…
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…
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…
One-nodal Fano threefolds with Picard number one
Alexander Kuznetsov, Yuri Prokhorov
We classify all 1-nodal degenerations of smooth Fano threefolds with Picard number 1 (both nonfactorial and factorial) and describe their geometry. In particular, we describe a rel…