A logarithmic view towards semistable reduction

DOI10.1090/S1056-3911-04-00388-1zbMath1080.14035arXivmath/0305255OpenAlexW1970954760MaRDI QIDQ4659673

Jakob Stix

Publication date: 21 March 2005

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0305255

zbMATH Keywords

logarithmic geometrydegenerations\(\ell\)-adic cohomologymonodromy representationfamilies of curves

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Étale and other Grothendieck topologies and (co)homologies (14F20) Fibrations, degenerations in algebraic geometry (14D06) (p)-adic cohomology, crystalline cohomology (14F30) Infinitesimal methods in algebraic geometry (14B10)

Related Items (5)

Logarithmic good reduction of abelian varieties ⋮ Geometric criteria for tame ramification ⋮ Stable reduction of curves and tame ramification ⋮ Convergence of \(p\)-adic pluricanonical measures to Lebesgue measures on skeleta in Berkovich spaces ⋮ Log smooth curves over discrete valuation rings

Cites Work

• Vanishing Cycles and Geometry of Curves Over a Discrete Valuation Ring
• Logarithmic structures of Fontaine-Illusie. II
• Toric Singularities
• Log smooth extension of a family of curves and semi-stable reduction
• On Smooth, Unramified, Étale and Flat Morphisms of Fine Logarithmic Schemes
• Curves Over Discrete Valuation Rings
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