Abstract
We show the twisted cohomology on $\mathbb{P}^{1}$ has a natural polarized Hodge structure and hence derive the analogues of Riemann's equality and inequailty.
Citation
Masaki Hanamura. Masaaki Yoshida. "Hodge structure on twisted cohomologies and twisted Riemann inequalities. I." Nagoya Math. J. 154 123 - 139, 1999.
Information
Published: 1999
First available in Project Euclid: 27 April 2005
zbMATH: 0956.14020
MathSciNet: MR1689176
Subjects:
Primary:
32J25
Secondary:
14C30
,
32G20
,
33C05
,
33C70
Rights: Copyright © 1999 Editorial Board, Nagoya Mathematical Journal
