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Mathematical Research Letters
Volume 26 (2019)
Number 5
Vanishing theorems for parabolic Higgs bundles
Pages: 1251 – 1279
DOI: https://dx.doi.org/10.4310/MRL.2019.v26.n5.a1
Authors
Abstract
The main result is a Kodaira vanishing theorem for semistable parabolic Higgs bundles with trivial parabolic Chern classes. This implies a general semipositivity theorem. This also implies a Kodaira–Saito vanishing theorem for complex variations of Hodge structure.
D. Arapura partially supported by a grant from the Simon’s Foundation.
Received 15 January 2018
Accepted 29 August 2018
Published 27 November 2019