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Explicit analysis of positive dimensional fibres of Pg,r and Xiao conjecture
Grosselli, Gian Paolo
Spelta, Irene
2022
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e-ISSN
2464-8728
Abstract
We focus on the positive dimensional fibres of the Prym map Pg,r. We present a direct procedure to investigate infinitely many examples of positive dimensional fibres. Such procedure uses families of Galois coverings of the line admitting a 2-sheeted Galois intermediate quotient. Then we generalize to families of Galois coverings of the line admitting a Galois intermediate quotient of higher degree and we show that the higher degree analogue of the aforementioned procedure gives all the known counterexamples to a conjecture by Xiao on the relative irregularity of a fibration.
Publisher
EUT Edizioni Università di Trieste
Source
Gian Paolo Grosselli, Irene Spelta, "Explicit analysis of positive dimensional fibres of Pg,r and Xiao conjecture" in: "Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.54 (2022)", EUT Edizioni Università di Trieste, Trieste, 2022, pp. 111-128
Languages
en
Rights
Attribution-NonCommercial-NoDerivatives 4.0 Internazionale
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