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Double Kodaira fibrations with small signature

Title data

Lee, Ju A ; Lönne, Michael ; Rollenske, Sönke:
Double Kodaira fibrations with small signature.
In: International Journal of Mathematics. Vol. 31 (2020) Issue 07 . - No. 2050052.
ISSN 1793-6519
DOI: https://doi.org/10.1142/S0129167X20500524

Abstract in another language

Kodaira fibrations are surfaces of general type with a non-isotrivial fibration, which are differentiable fiber bundles. They are known to have positive signature divisible by 4. Examples are known only with signature 16 and more. We review approaches to construct examples of low signature which admit two independent fibrations. Special attention is paid to ramified covers of product of curves which we analyze by studying the monodromy action for bundles of punctured curves. As a by-product, we obtain a classification of all fix-point-free automorphisms on curves of genus at most 9.

Further data

Item Type: Article in a journal
Refereed: Yes
Keywords: signature; Kodaira fibration; surface bundle; monodromy
Subject classification: Mathematics Subject Classification Code: 14J29 14D05
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Former Professors > Professorship Algebraic Geometry - apl. Prof. Dr. Michael Lönne
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 23 Nov 2021 09:42
Last Modified: 23 Nov 2021 09:42
URI: https://eref.uni-bayreuth.de/id/eprint/67975