The Direct Image Sheaf $f_*(O_X)$

Kentaro MITSUI; Iku NAKAMURA

doi:10.3836/tjm/1475723086

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Home > Journals > Tokyo J. Math. > Volume 39 > Issue 3 > Article

March 2017 The Direct Image Sheaf $f_*(O_X)$

Kentaro MITSUI, Iku NAKAMURA

Tokyo J. Math. 39(3): 777-782 (March 2017). DOI: 10.3836/tjm/1475723086

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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.

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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