Английская Википедия:Grauert–Riemenschneider vanishing theorem

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Шаблон:Short description In mathematics, the Grauert–Riemenschneider vanishing theorem is an extension of the Kodaira vanishing theorem on the vanishing of higher cohomology groups of coherent sheaves on a compact complex manifold, due to Шаблон:Harvs.

Grauert–Riemenschneider conjecture

The Grauert–Riemenschneider conjecture is a conjecture related to the Grauert–Riemenschneider vanishing theorem:

Шаблон:Blockquote

This conjecture was proved by Шаблон:Harvtxt using the Riemann–Roch type theorem (Hirzebruch–Riemann–Roch theorem) and by Шаблон:Harvtxt using Morse theory.

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Шаблон:Algebraic-geometry-stub