## Higher direct images of local systems in log Betti cohomology

J. Math. Sci. Univ. Tokyo
Vol. 15 (2008), No. 2, Page 291--323.

Kajiwara, Takeshi ; Nakayama, Chikara
Higher direct images of local systems in log Betti cohomology

Abstract:
We prove that the higher direct images of a locally constant sheaf by the associated continuous map of a proper separated log smooth morphism of fs log analytic spaces are locally constant.

Keywords: Airy differential equation, hyperbolic Schwarz map, flat front, swallowtail singularity

Mathematics Subject Classification (2000): Primary 14F45.
Mathematical Reviews Number: MR2478113