5 papers · 1 filter
Derived categories of quadric bundles and moduli stacks of spinor sheaves
Raymond Cheng, Noah Olander
We prove that the Kuznetsov component of a flat family of even-dimensional quadrics of corank at most 2 is equivalent to the twisted derived category of an algebraic space whenever…
Unirationality of hypersurfaces via highly tangent lines
Raymond Cheng
This article describes a unirationality construction for general low degree complete intersections in projective space which is based on a variety of highly tangent lines. Applied…
Profiles, linear spaces, and unirationality of complete intersections
Raymond Cheng
Complete intersections may be unexpectedly simple over fields of positive characteristic: for instance, they may be unirational despite being of general type. One explanation is gi…
Free curves in Fano hypersurfaces must have high degree
Raymond Cheng
The purpose of this note is to show that the minimal for which every smooth Fano hypersurface of dimension contains a free rational curve of degree at most cannot be bo…
-bic threefolds and their surface of lines
Raymond Cheng
For any power of the positive ground field characteristic, a smooth -bic threefold -- the Fermat threefold of degree for example -- has a smooth surface of lines w…