Slope inequalities for fibred surfaces via GIT

zbMath1160.14013arXivmath/0411639MaRDI QIDQ1001969

Lidia Stoppino

Publication date: 20 February 2009

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411639

zbMATH Keywords

fibrationsGITslope

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Fibrations, degenerations in algebraic geometry (14D06) Surfaces of general type (14J29)

Related Items

Slope inequality for families of curves over surfaces ⋮ On the gonality and the slope of a fibered surface ⋮ New slope inequalities for families of complete intersections ⋮ Bogomolov's inequality for product type varieties in positive characteristic ⋮ The slope of fibred surfaces: Unitary rank and Clifford index ⋮ Linear stability of projected canonical curves with applications to the slope of fibred surfaces ⋮ Severi inequality for varieties of maximal Albanese dimension ⋮ A sharp bound for the slope of double cover fibrations ⋮ Linear stability for line bundles over curves ⋮ Fibered varieties over curves with low slope and sharp bounds in dimension three

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