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arXiv · 2205.06613

Smooth $l$-Fano weighted complete intersections

Anastasia V. Vikulova
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Abstract

In this paper we prove that for $n$-dimensional smooth $l$-Fano well formed weighted complete intersections, which is not isomorphic to a usual projective space, the upper bound for $l$ is equal to $\lceil \log_2(n+2) \rceil-1 .$ We also prove that the only $l$-Fano of dimension $n$ among such manifolds with inequalities $ \lceil \log_3(n+2) \rceil \leqslant l \leqslant \lceil \log_2(n+2) \rceil -1 $ is a complete intersection of quadrics in a usual projective space.

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Anastasia V. Vikulova. 2022-05-13. Smooth $l$-Fano weighted complete intersections. https://arxiv.org/abs/2205.06613

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