Rationality of even-dimensional intersections of two real quadrics
Brendan Hassett, J\'anos Koll\'ar, Yuri Tschinkel
TL;DR
This paper investigates the rationality of smooth complete intersections of two quadrics over various fields, providing a specific criterion for rationality in four-dimensional cases over the real numbers.
Contribution
It introduces a new criterion for determining rationality of four-dimensional intersections of two quadrics over the reals.
Findings
Established a rationality criterion for four-dimensional intersections over the reals.
Provided insights into rationality over nonclosed fields.
Enhanced understanding of the structure of intersections of two quadrics.
Abstract
We study rationality constructions for smooth complete intersections of two quadrics over nonclosed fields. Over the real numbers, we establish a criterion for rationality in dimension four.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic Geometry and Number Theory · Polynomial and algebraic computation · Tensor decomposition and applications