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Tensor and convolution direct image of $\ell$-adic sheaves
- Publication Year :
- 2018
-
Abstract
- Given a Galois \'etale map of varieties $\pi:Y\to X$ and an $\ell$-adic sheaf or derived category object $P\in D^b_c(Y,{\mathbb Q}_\ell)$, we study two cohomological operations: the tensor direct image and (in the case of perverse sheaves) the convolution direct image, which give objects of $D^b_c(X,{\mathbb Q}_\ell)$, and can be used to improve the estimates on some partial exponential sums and the number of rational points on certain varieties.
- Subjects :
- Mathematics - Number Theory
Mathematics - Algebraic Geometry
14F20, 11L07, 11T24
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1806.02777
- Document Type :
- Working Paper