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

Fukuoka, T., Hara, W. and Ishikawa, D. (2022) Classification of rank two weak Fano bundles on del Pezzo threefolds of degree four. Mathematische Zeitschrift, 301(3), pp. 2883-2905. (doi: 10.1007/s00209-022-03005-8)

Abstract

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 seven cases.

• Item Type: Articles
• Additional Information: The first author was partially supported by JSPS Research Fellowship for Young Scientists (JSPS KAKENHI Grant Number 18J12949). The second author was supported by JSPS Research Fellowship for Young Scientists (JSPS KAKENHI Grant Number 17J00857)
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Hara, Dr Wahei
• Authors: Fukuoka, T., Hara, W., and Ishikawa, D.
• College/School: College of Science and Engineering > School of Mathematics and Statistics; College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Mathematische Zeitschrift
• Publisher: Springer
• ISSN: 0025-5874
• ISSN (Online): 1432-1823
• Published Online: 13 March 2022
• Copyright Holders: Copyright © 2022 The Authors
• First Published: First published in Mathematische Zeitschrift 301(3): 2883-2905
• Publisher Policy: Reproduced under a Creative Commons licence