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TENSOR AND CONVOLUTION DIRECT IMAGE OF ℓ‐ADIC SHEAVES
Author(s) -
RojasLeón Antonio
Publication year - 2020
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/mtk.12016
Subject(s) - mathematics , convolution (computer science) , pure mathematics , sheaf , image (mathematics) , tensor (intrinsic definition) , galois module , tensor product , algebra over a field , artificial intelligence , artificial neural network , computer science
Given a Galois étale map of varieties π : Y → X and an ℓ‐adic sheaf or complex on Y , we study two cohomological operations: the tensor direct image and the convolution direct image (in the case of perverse sheaves), which give objects on X , and can be used to improve the estimates on some partial exponential sums and the number of rational points on certain varieties.