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Singularities of Cox Rings of Fano Varieties
Published 28 Sep 2011 in math.AG | (1109.6368v2)
Abstract: Let $X$ be a smooth complete Fano variety over $\mathbb{C}$. We show that the Cox ring $\bigoplus_{L\in\text{Pic}(X)}H0(X,\mathcal{O}_X(L))$ is Gorenstein with canonical singularities.
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