Affiliation:
1. Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA
Abstract
AbstractThe goal of this paper is to give a new proof of a special case of
the Kodaira–Saito vanishing theorem for a variation of Hodge
structure on the complement of a divisor with normal crossings. The
proof does not use the theory of mixed Hodge modules, but instead
reduces it to a more general vanishing theorem for semistable nilpotent
Higgs bundles, which is then proved by using some facts about Higgs bundles in positive characteristic.
Subject
Applied Mathematics,General Mathematics
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