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arXiv · 2006.05666

The classification of smooth well-formed Fano weighted complete intersections

Mikhail Ovcharenko
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Abstract

We show that the set of families of smooth well-formed Fano weighted complete intersections admits a natural partition with respect to the variance $\mathrm{var}(X) = \mathrm{coind}(X) - \mathrm{codim}(X)$. Moreover, we obtain the classification of smooth well-formed Fano weighted complete intersections of small variance. We also prove that the anticanonical linear system on a smooth well-formed Fano weighted complete intersection of anticanonical degree one is never base-point free.

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Mikhail Ovcharenko. 2020-06-10. The classification of smooth well-formed Fano weighted complete intersections. https://doi.org/10.1142/s0129167x23500647

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