Affine cohomological transforms, perversity, and monodromy

DOI10.1090/S0894-0347-1993-1161307-0zbMath0815.14011MaRDI QIDQ4038328

Nicholas M. Katz

Publication date: 16 May 1993

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Fourier transformcomplete intersectionsfinite fieldcharacteristic \(p\)perverse sheavesBertini theoremweak Lefschetz theorem\(l\)-adic transforms

Mathematics Subject Classification ID

Finite ground fields in algebraic geometry (14G15) Local ground fields in algebraic geometry (14G20) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40)

Related Items (10)

On a question of Rudnick: do we have square root cancellation for error terms in moment calculations? ⋮ Sato-Tate in the higher dimensional case: elaboration of 9.5.4 in Serre's \(N_X(p)\) book ⋮ Sums of Betti numbers in arbitrary characteristic. ⋮ Exponential sums and \(\ell\)-adic cohomology: A survey. ⋮ A note on Galois representations with big image ⋮ Miscellany on traces in \(\ell\)-adic cohomology: a survey ⋮ On the conductor of cohomological transforms ⋮ Divisibility of Frobenius eigenvalues on \({\ell}\)-adic cohomology ⋮ Zeroes of zeta functions and symmetry ⋮ Hyperelliptic jacobians and simple groups $\mathbf {U}_3(2^m)$

Cites Work

• Transformation de Fourier et majoration de sommes exponentielles. (Fourier transformation and majoration of exponential sums.)
• On the monodromy groups attached to certain families of exponential sums
• La conjecture de Weil. II
• Generalized Euler integrals and \(A\)-hypergeometric functions
• Exponential Sums and Differential Equations. (AM-124)
• NOTES ON CONGRUENCES (I)
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