Quasicoherent sheaves over affine Hensel schemes

Greco, Silvio; Strano, Rosario

doi:10.1090/S0002-9947-1981-0632537-7

Quasicoherent sheaves over affine Hensel schemes
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by Silvio Greco and Rosario Strano

Trans. Amer. Math. Soc. 268 (1981), 445-465

DOI: https://doi.org/10.1090/S0002-9947-1981-0632537-7

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Abstract:

The following two theorems concerning affine Hensel schemes are proved. Theorem A. Every quasi-coherent sheaf over an affine Hensel scheme is generated by its global sections. Theorem B. ${H^p}(X, F) = 0$ for all positive $p$ and all quasi-coherent sheaves $F$ over an affine Hensel scheme $X$.

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