A geometric version of the circle method

Tim Browning; Will Sawin

doi:10.4007/annals.2020.191.3.4

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.

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Tim Browning. Will Sawin. "A geometric version of the circle method." Ann. of Math. (2) 191 (3) 893 - 948, May 2020. https://doi.org/10.4007/annals.2020.191.3.4

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Published: May 2020

First available in Project Euclid: 21 December 2021

Digital Object Identifier: 10.4007/annals.2020.191.3.4

Subjects:

Primary: 14H10

Secondary: 11P55 , 14F20 , 14G05

Keywords: \'etale cohomology , circle method , Hypersurface , mapping space , Rational curves

Abstract

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