5 papers
A cohomological property of Lagrange multipliers
Alan Adolphson, Steven Sperber
The method of Lagrange multipliers relates the critical points of a given function f to the critical points of an auxiliary function F. We establish a cohomological relationship be…
Dwork cohomology, de Rham cohomology, and hypergeometric functions
Alan Adolphson, Steven Sperber
In the 1960s, Dwork developed a p-adic cohomology theory of de Rham type for varieties over finite fields, based on a trace formula for the action of a Frobenius operator on certai…
Exponential sums on A^n, III
Alan Adolphson, Steven Sperber
We give two applications of our earlier work "Exponential sums on A^n, II" (math.AG/9909009). We compute the p-adic cohomology of certain exponential sums on A^n involving a polyno…
Exponential sums on A^n, II
Alan Adolphson, Steven Sperber
We prove a vanishing theorem for the p-adic cohomology of exponential sums on affine space. In particular, we obtain new classes of exponential sums on affine space that have a sin…
Exponential sums on A^n
Alan Adolphson, Steven Sperber
We discuss exponential sums on affine space from the point of view of Dwork's p-adic cohomology theory