34 citations · 131 across the 31 of their papers we have counts for
11 papers · 2 filters
Fano varieties and linear sections of hypersurfaces
Jason Michael Starr
Under a hypothesis on , and that is almost the best possible, we prove that for every smooth degree hypersurface in , the -plane sections dominate the moduli…
Degenerations of rationally connected varieties and PAC fields
Jason Michael Starr
A perfect PAC field containing an algebraically closed field is known to be , i.e., every degeneration of a Fano complete intersection has a point. We prove that also every de…
Higher Fano manifolds and rational surfaces
A. J. de Jong, Jason Michael Starr
For a Fano manifold of pseudo-index at least 3 and nef, we show irreducibility of certain spaces of curves on the Fano manifold implies the manifold is a union of rati…
Artin's axioms, composition and moduli spaces
Jason Michael Starr
We prove Artin's axioms satisfy a compatibility for composition of 1-morphisms of stacks in groupoids. Consequently, some natural stacks in groupoids are algebraic, including a com…
Very twisting families of pointed lines on Grassmannians
A. J. de Jong, Jason Michael Starr
There exist very twisting families of lines on Grassmannians and isotropic Grassmannians. This is a key step in proving existence of a rational section of a family of isotropic Gra…
A note on Fano manifolds whose second Chern character is positive
A. J. de Jong, Jason Michael Starr
This note outlines some first steps in the classification of Fano manifolds for which is positive or nef.