Title: Computing representation matrices for the action of Frobenius to cohomology groups,
Abstract: This paper is concerned with the computation of representation matrices for
the action of Frobenius to the cohomology groups of algebraic varieties.
Specifically we shall give an algorithm to compute the matrices for arbitrary
algebraic varieties with defining equations over perfect fields of positive
characteristic, and estimate its complexity. Moreover, we propose a specific
efficient method, which works for complete intersections.