We prove new slope inequalities for relatively minimal fibred surfaces, showing an influence of the relative irregularity qf , of the unitary rank uf and of the Clifford index cf on the slope. The argument uses Xiao’s method and a new Clifford-type inequality for subcanonical systems on non-hyperelliptic curves.
The slope of fibred surfaces: unitary rank and Clifford index
Enea Riva
;Lidia StoppinoMembro del Collaboration Group
2022-01-01
Abstract
We prove new slope inequalities for relatively minimal fibred surfaces, showing an influence of the relative irregularity qf , of the unitary rank uf and of the Clifford index cf on the slope. The argument uses Xiao’s method and a new Clifford-type inequality for subcanonical systems on non-hyperelliptic curves.File in questo prodotto:
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Proceedings of London Math Soc - 2022 - Riva - The slope of fibred surfaces Unitary rank and Clifford index (1).pdf
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