Abstract
We prove $f_*(O_X)=O_S$ for a proper flat surjective morphism $f:X\to S$ of noetherian schemes under a mild condition.
Citation
Kentaro MITSUI. Iku NAKAMURA. "The Direct Image Sheaf $f_*(O_X)$." Tokyo J. Math. 39 (3) 777 - 782, March 2017. https://doi.org/10.3836/tjm/1475723086
Information
Published: March 2017
First available in Project Euclid: 6 October 2016
zbMATH: 1365.14022
MathSciNet: MR3634292
Digital Object Identifier: 10.3836/tjm/1475723086
Subjects:
Primary:
14F05
Secondary:
13D02
,
13H99
Rights: Copyright © 2017 Publication Committee for the Tokyo Journal of Mathematics