A geometric version of the circle method

Tim Browning; Will Sawin

doi:10.4007/annals.2020.191.3.4

A geometric version of the circle method

Tim Browning
, Will Sawin

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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.

Original language	English (US)
Pages (from-to)	893-948
Number of pages	56
Journal	Annals of Mathematics
Volume	191
Issue number	3
DOIs	https://doi.org/10.4007/annals.2020.191.3.4
State	Published - May 2020
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

Keywords

Circle method
Etale cohomology
Hypersurface
Mapping space
Rational curves

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10.4007/annals.2020.191.3.4

Cite this

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title = "A geometric version of the circle method",

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 = "Circle method, Etale cohomology, Hypersurface, Mapping space, Rational curves",

author = "Tim Browning and Will Sawin",

note = "Publisher Copyright: {\textcopyright} 2020. Department of Mathematics, Princeton University.",

year = "2020",

month = may,

doi = "10.4007/annals.2020.191.3.4",

language = "English (US)",

volume = "191",

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AU - Sawin, Will

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AB - 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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KW - Etale cohomology

KW - Hypersurface

KW - Mapping space

KW - Rational curves

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DO - 10.4007/annals.2020.191.3.4

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ER -

A geometric version of the circle method

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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