Smooth prime Fano complete intersections in toric varieties
Victor Przyjalkowski, Constantin Shramov
TL;DR
This paper proves that smooth, well-formed Picard rank one Fano complete intersections of dimension at least 2 in toric varieties are necessarily weighted complete intersections, providing a classification result in algebraic geometry.
Contribution
It establishes a classification of certain Fano complete intersections in toric varieties as weighted complete intersections, a new insight in algebraic geometry.
Findings
Fano complete intersections in toric varieties are weighted
Dimension at least 2 is a key condition
Classification of smooth, well-formed cases
Abstract
We prove that a smooth well formed Picard rank one Fano complete intersection of dimension at least 2 in a toric variety is a weighted complete intersection.
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