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arXiv · 1611.09556

Bounds for smooth Fano weighted complete intersections

Victor Przyjalkowski·Constantin Shramov
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Abstract

We prove that if a smooth variety with non-positive canonical class can be embedded into a weighted projective space of dimension $n$ as a well formed complete intersection and it is not an intersection with a linear cone therein, then the weights of the weighted projective space do not exceed $n+1$. Based on this bound we classify all smooth Fano complete intersections of dimensions $4$ and $5$, and compute their invariants.

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Victor Przyjalkowski, Constantin Shramov. 2016-11-29. Bounds for smooth Fano weighted complete intersections. https://doi.org/10.4310/cntp.2020.v14.n3.a3

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