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The classification of smooth well-formed Fano weighted complete intersections

International Journal of Mathematics. 2023. Vol. 34. No. 11. Article 2350064.
Ovcharenko M.

We show that the set of families of smooth well-formed Fano weighted complete intersections admits a natural partition with respect to the variance var(X) = coind(X) - 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.

Research target: Mathematics
Language: English
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Keywords: многообразия ФаноFano varietiesweighted complete intersectionsвзвешенные полные пересечения
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