Refinement of the classification of weak Fano threefolds with sextic del Pezzo fibrations

Takeru Fukuoka

Refinement of the classification of weak Fano threefolds with sextic del Pezzo fibrations

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arxiv 1903.06872 v1 pith:QE4N4ZBI submitted 2019-03-16 math.AG

Takeru Fukuoka This is my paper · ORCID

classification math.AG

keywords casesclassificationthreefoldsfanofibrationspezzoresultsextic

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We refine the classification of weak Fano threefolds with sextic del Pezzo fibrations by considering the Hodge numbers of them. By the refined classification result, such threefolds are classified into 17 cases. The main result of this paper is to show that there exists an example for each of 17 cases, except for 2 cases.

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Images of toric variety and amplified endomorphism of weak Fano threefolds
math.AG 2025-06 conditional novelty 5.0 of 10

A smooth projective weak Fano threefold of Picard rank 2 that is either a toric image or admits an int-amplified endomorphism is toric, with three explicit non-Fano exceptions.

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