A geometric version of the circle method

Pages 893-948 from Volume 191 (2020), Issue 3 by Tim Browning, Will Sawin

Abstract

We develop a geometric version of the circle method and use it to compute the compactly supported cohomology of the space of rational curves through a point on a smooth affine hypersurface of sufficiently low degree.

Keywords
, , , ,
DOI
https://doi.org/10.4007/annals.2020.191.3.4
MR
4088353
zbMATH
07190306
Milestones
Received: 28 November 2017
Revised: 8 January 2020
Accepted: 14 February 2020
Published online: 15 April 2020

Authors

Tim Browning

Institute of Science and Technology Austria, Klosterneuburg, Austria

Will Sawin

Department of Mathematics, Columbia University, New York, NY, USA