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Rationality of Fano Schemes on Quadrics by UnDueTreSberla is a document available to read on EtoBox.

This document summarizes several results about the birational and rational properties of Fano schemes of linear spaces on smooth complete intersections of two quadrics. The main results are: 1) If the Fano scheme of (r+1)-planes is nonempty over a field k, then the Fano scheme of r-planes is k-rational. 2) For intersections of dimension 2g+1, the Fano scheme of (g-2)-planes is k-rational if and only if the Fano scheme of (g-1)-planes is nonempty over k. 3) The Fano schemes are birational to symmetri

Author

UnDueTreSberla

Language

EN