Abstract
We prove a sharp relative Clifford inequality for relatively special divisors on varieties fibered by curves. It generalizes the classical Clifford inequality about a single curve to a fibration of curves. It yields a geographical inequality for varieties Albanese-fibered by curves. We also apply it to deduce a slope inequality for some higher dimensional families of curves. It sheds light on the existence of a more general Cornalba–Harris–Xiao type inequality for families of curves.
Citation
Tong Zhang. "Relative Clifford inequality for varieties fibered by curves." J. Differential Geom. 122 (2) 341 - 376, October 2022. https://doi.org/10.4310/jdg/1669998187
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