Tokyo Journal of Mathematics

The Direct Image Sheaf $f_*(O_X)$


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We prove $f_*(O_X)=O_S$ for a proper flat surjective morphism $f:X\to S$ of noetherian schemes under a mild condition.

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Tokyo J. Math., Volume 39, Number 3 (2017), 777-782.

First available in Project Euclid: 6 October 2016

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 14F05: Sheaves, derived categories of sheaves and related constructions [See also 14H60, 14J60, 18F20, 32Lxx, 46M20]
Secondary: 13D02: Syzygies, resolutions, complexes 13H99: None of the above, but in this section


MITSUI, Kentaro; NAKAMURA, Iku. The Direct Image Sheaf $f_*(O_X)$. Tokyo J. Math. 39 (2017), no. 3, 777--782. doi:10.3836/tjm/1475723086.

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