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 | |
| State | Published - May 2020 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Statistics, Probability and Uncertainty
Keywords
- Circle method
- Etale cohomology
- Hypersurface
- Mapping space
- Rational curves