Singularities of Cox Rings of Fano Varieties
classification
🧮 math.AG
keywords
fanosingularitiesbigopluscanonicalcompletegorensteinmathbbmathcal
read the original abstract
Let $X$ be a smooth complete Fano variety over $\mathbb{C}$. We show that the Cox ring $\bigoplus_{L\in\text{Pic}(X)}H^0(X,\mathcal{O}_X(L))$ is Gorenstein with canonical singularities.
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