Log smooth extension of a family of curves and semi-stable reduction

DOI10.1090/S1056-3911-03-00338-2zbMath1082.14032OpenAlexW2136678499MaRDI QIDQ4820425

Takeshi Saito

Publication date: 15 October 2004

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

Full work available at URL: https://doi.org/10.1090/s1056-3911-03-00338-2

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10)

Related Items (22)

TRANSPORT PARALLÈLE ET CORRESPONDANCE DE SIMPSON -ADIQUE ⋮ Logarithmic good reduction of abelian varieties ⋮ Computing motivic zeta functions on log smooth models ⋮ Unconditional construction of \(K3\) surfaces over finite fields with given \(L\)-function in large characteristic ⋮ Globally \(+\)-regular varieties and the minimal model program for threefolds in mixed characteristic ⋮ Geometric criteria for tame ramification ⋮ \(K\)-theory of log-schemes. II: Log-syntomic \(K\)-theory ⋮ Motivic zeta functions of degenerating Calabi-Yau varieties ⋮ The essential skeleton of a product of degenerations ⋮ Supersingular \(K3\) surfaces for large primes. With an Appendix by Andrew Snowden. ⋮ On uniqueness ofp-adic period morphisms, II ⋮ On the ramification of étale cohomology groups ⋮ Syntomic complexes and \(p\)-adic nearby cycles ⋮ A logarithmic view towards semistable reduction ⋮ Stable reduction of curves and tame ramification ⋮ Good reduction criterion for \(K3\) surfaces ⋮ On log motives ⋮ Degeneration of Kummer surfaces ⋮ Convergence of \(p\)-adic pluricanonical measures to Lebesgue measures on skeleta in Berkovich spaces ⋮ The abelian monodromy extension property for families of curves ⋮ Constructibilité et modération uniformes en cohomologie étale ⋮ Log smooth curves over discrete valuation rings

Cites Work

• Toroidal embeddings. I
• The irreducibility of the space of curves of a given genus
• Vanishing Cycles and Geometry of Curves Over a Discrete Valuation Ring
• Logarithmic structures of Fontaine-Illusie. II
• Extending families of curves over log regular schemes
• Toric Singularities
• Smoothness, Semistability, and Toroidal Geometry
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