We prove new slope inequalities for relatively minimal fibred surfaces, showing an influence of the relative irregularity (Formula presented.), of the unitary rank (Formula presented.) and of the Clifford index (Formula presented.) on the slope. The argument uses Xiao's method and a new Clifford-type inequality for subcanonical systems on non-hyperelliptic curves.
Riva, E., Stoppino, L. (2022). The slope of fibred surfaces: Unitary rank and Clifford index. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 124(1), 83-105 [10.1112/plms.12424].
The slope of fibred surfaces: Unitary rank and Clifford index
Riva, E
;
2022
Abstract
We prove new slope inequalities for relatively minimal fibred surfaces, showing an influence of the relative irregularity (Formula presented.), of the unitary rank (Formula presented.) and of the Clifford index (Formula presented.) on the slope. The argument uses Xiao's method and a new Clifford-type inequality for subcanonical systems on non-hyperelliptic curves.
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