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Purity of exponential sums on 𝔸n, II
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Antonio Rojas-León
Published/Copyright:
March 12, 2007
Abstract
We give a purity result for exponential sums of the type 
, where k is a finite field of characteristic p, ψ : k → 
is a non-trivial additive character and ƒ ∈ k[x1,…, xn] is a polynomial whose highest degree homogeneous form splits as a product of factors defining a divisor with normal crossings in ℙn−1.
Received: 2005-10-24
Published Online: 2007-03-12
Published in Print: 2007-03-27
© Walter de Gruyter
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Articles in the same Issue
- Massey products and ideal class groups
- Purity of exponential sums on 𝔸n, II
- Sheaves on Artin stacks
- Levi umbilical surfaces in complex space
- A realization of the Hecke algebra on the space of period functions for Γ0 (n)
- The 5-canonical system on 3-folds of general type
- On Spin L-functions for GSO10
- Nonexistence of higher codimensional Levi-flat CR manifolds in symmetric spaces
