arXiv subjects

Jason Michael Starr

Publications and source records attributed to Jason Michael Starr.

20 records · Page 2Linked to original sources

arXiv2006

Degenerations of rationally connected varieties and PAC fields

A perfect PAC field containing an algebraically closed field is known to be $C_1$, i.e., every degeneration of a Fano complete intersection has a point. We prove that also every degeneration of a separably rationally connected variety has a point.

math.AG↗

arXiv2006

Rational surfaces in index-one Fano hypersurfaces

We give the first evidence for a conjecture that a general, index-one, Fano hypersurface is not unirational: (i) a general point of the hypersurface is contained in no rational surface ruled, roughly, by low-degree rational curves, and (ii) a general point is contained in no image of a Del Pezzo surface.

math.AG↗