The slope of fibred surfaces: Unitary rank and Clifford index

DOI10.1112/plms.12424zbMath1525.14042arXiv2102.04142MaRDI QIDQ6134573

Lidia Stoppino, Unnamed Author

Publication date: 22 August 2023

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.04142

zbMATH Keywords

slope inequalityClifford-type inequality

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Fibrations, degenerations in algebraic geometry (14D06) Families, moduli, classification: algebraic theory (14J10) Surfaces of general type (14J29)

Related Items (1)

Slope inequalities for KSB‐stable and K‐stable families

Cites Work

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• A sharp bound for the slope of double cover fibrations
• Slope inequalities for fibred surfaces via GIT
• Fibered algebraic surfaces with low slope
• Irregularity of surfaces with a linear pencil
• Stability of projective varieties
• On Kähler fiber spaces over curves
• The sheaf of relative canonical forms of a Kähler fiber space over a curve
• Xiao's conjecture for general fibred surfaces
• On the gonality and the slope of a fibered surface
• The Severi inequality \(K^2 \geq 4\chi\) for surfaces of maximal Albanese dimension
• Some inequalities for minimal fibrations of surfaces of general type over curves
• Zariski-decomposition and abundance
• On the slope of fourgonal semistable fibrations
• Cyclic covering of the projective line with prime gonality
• Slopes of fibered surfaces with a finite cyclic automorphism
• The direct image of the relative dualizing sheaf needs not be semiample
• Hyperelliptic curves among cyclic coverings of the projective line. II
• Linear stability of projected canonical curves with applications to the slope of fibred surfaces
• Family of curves with large unitary summand in the Hodge bundle
• On the slope of bielliptic fibrations
• Towards the ample cone of \overline{𝑀}_{𝑔,𝑛}
• Vector bundles on curves coming from variation of Hodge structures
• Inégalités numériques pour les surfaces de type général. Appendice : «L'inégalité $p_g \ge 2q-4$ pour les surfaces de type général» par A. Beauville
• Slopes of trigonal fibred surfaces and of higher dimensional fibrations
• On the Clifford Index of Algebraic Curves
• Divisor classes associated to families of stable varieties, with applications to the moduli space of curves
• On a conjecture of Xiao.
• Answer to a question by Fujita on Variation of Hodge Structures
• A sharp slope inequality for general stable fibrations of curves.
• A LOWER BOUND OF THE SLOPE OF TRIGONAL FIBRATIONS
• LINEAR SERIES ON CURVES: STABILITY AND CLIFFORD INDEX
• Families of curves with Higgs field of arbitrarily large kernel
• On the slope conjecture of Barja and Stoppino for fibred surfaces
• On the rank of the flat unitary summand of the Hodge bundle
• Stability Conditions and Positivity of Invariants of Fibrations
• On the Oort conjecture for Shimura varieties of unitary and orthogonal types

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