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Geometry of genus sixteen K3 surfaces
Frederic Han
Polarized K3 surfaces of genus sixteen have a Mukai vector bundle of rank two. We study the geometry of the projectivization of this bundle. We prove that it has an embedding in $\…
Hilbert squares of K3 surfaces and Debarre-Voisin varieties
Olivier Debarre, Frédéric Han, Kieran O'Grady +1
The Debarre-Voisin hyperkähler fourfolds are built from alternating -forms on a -dimensional complex vector space, which we call trivectors. They are analogous to the Beauvi…
Quarto-quartic birational maps of
Julie Déserti, Frédéric Han
We construct a determinantal family of quarto-quartic transformations of a complex projective space of dimension from trigonal curves of degree and genus . Moreover we s…
On cubic birational maps of
Julie Déserti, Frédéric Han
We study the birational maps of . More precisely we describe the irreducible components of the set of birational maps of bidegree (resp. , r…
Pfaffian bundles on cubic surfaces and configurations of planes
Frederic Han
We give a canonical birational map between the moduli space of pfaffian vector bundles on a cubic surface and the space of complete pentahedra inscribed in the cubic surface. The u…