# Gau{\ss}-Manin determinant connections and periods for irregular connections

Research paper by Spencer Bloch, Hélène Esnault

Indexed on: 12 Dec '99Published on: 12 Dec '99Published in: Mathematics - Algebraic Geometry

#### Abstract

Gau{\ss}-Manin determinant connections associated to irregular connections on a curve are studied. The determinant of the Fourier transform of an irregular connection is calculated. The determinant of cohomology of the standard rank 2 Kloosterman sheaf is computed modulo 2 torsion. Periods associated to irregular connections are studied in the very basic $\exp(f)$ case, and analogies with the Gau{\ss}-Manin determinant are discussed.