A geometric version of the circle method

• 成果类型: Article
• 署名作者: Browning, Tim; Sawin, Will
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2020.191.3.4
• 发表日期: 2020
• 页码: 893-948
• 关键词: rational curves; hypersurfaces; COHOMOLOGY; STABILITY; TOPOLOGY; SPACES

摘要

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.