Covers inp-adic analytic geometry and log covers II: cospecialization of the (p′)-tempered fundamental group in higher dimensions

DOI10.1112/S0010437X12000218zbMath1260.14024arXiv0903.2349OpenAlexW2133976968MaRDI QIDQ3167319

Emmanuel Lepage

Publication date: 2 November 2012

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.2349

zbMATH Keywords

specializationBerkovich spacestempered fundamental groupslog fundamental groups

Mathematics Subject Classification ID

Homotopy theory and fundamental groups in algebraic geometry (14F35) Rigid analytic geometry (14G22)

Related Items

KUMMER COVERINGS AND SPECIALISATION ⋮ Covers in \(p\)-adic analytic geometry and log covers. I: cospecialization of the \((p^\prime)\)-tempered fundamental group for a family of curves

Cites Work

• Smooth \(p\)-adic analytic spaces are locally contractible
• Vanishing cycles for formal schemes
• On a geometric description of \(\text{Gal}(\bar{\mathbb Q}_p/\mathbb Q_p)\) and a \(p\)-adic avatar of \(\widehat{GT}\)
• Prime to \(p\) fundamental groups and tame Galois actions
• Semi-graphs of anabelioids
• Toric singularities: Log-blow-ups and global resolutions
• Toric Singularities