Work

On the classification of smooth Fano weighted complete intersections

Year: 2025

Type: article

Abstract: We provide a complete classification of smooth Fano n-folds, $$6\le n\le 10$$ , such that their images under their (sub)-anticanonical embedding can be described as a wellformed weighted complete intersection of some weighted projective space and they are not intersections with a linear cone. In total, we obtain 1180 families of such Fano manifolds by utilizing a combination of algorithmic and theoretical methods.

Source: Acta Universitatis Sapientiae Mathematica

DOI: 10.1007/s44426-025-00020-0

Author: Muhammad Imran Qureshi

Institution: King Fahd University of Petroleum and Minerals

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,390

OpenAlex ID: W4416170443

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Cites: 32

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