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20162025
most citedRefinement of the classification of weak Fano threefolds with sextic del Pezzo fibrations

2 citations · 2 across the 3 of their papers we have counts for

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6 papers

math.AG2025

Rank two Weak Fano bundles on Fano threefolds of Picard rank one

Takeru Fukuoka, Wahei Hara, Daizo Ishikawa

We classify rank two vector bundles on a Fano threefold of Picard rank one whose projectivizations are weak Fano. We also prove the existence of examples for each case of the class…

math.AG2021

Rank two weak Fano bundles on del Pezzo threefolds of degree five

Takeru Fukuoka, Wahei Hara, Daizo Ishikawa

This paper classifies rank two vector bundles on a del Pezzo threefold of degree five whose projectivizations are weak Fano. This classification is then used to determine prope…

math.AG2020

Classification of rank two weak Fano bundles on del Pezzo threefolds of degree four

Takeru Fukuoka, Wahei Hara, Daizo Ishikawa

We classify rank two vector bundles on a given del Pezzo threefold of degree four whose projectivizations are weak Fano into seven cases. We also give an example for each of these…

math.AG2019★ 2 cited

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

Takeru Fukuoka

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 threefold…

math.AG2018

Relative linear extensions of sextic del Pezzo fibrations

Takeru Fukuoka

In this paper, we study a sextic del Pezzo fibration over a curve comprehensively. We obtain certain formulae of several basic invariants of such a fibration. We also establish the…

math.AG2016

On the existence of almost Fano threefolds with del Pezzo fibrations

Takeru Fukuoka

By Jahnke-Peternell-Radloff and Takeuchi, almost Fano threefolds with del Pezzo fibrations were classified. Among them, there exists 10 classes such that the existence of members o…