Surface bundles and the section conjecture

DOI10.1007/s00208-022-02421-9zbMath1523.14107arXiv2010.07331WikidataQ113906077 ScholiaQ113906077MaRDI QIDQ6046113

Wanlin Li, Nick Salter, Daniel Litt, Padmavathi Srinivasan

Publication date: 15 May 2023

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.07331

Mathematics Subject Classification ID

Geometric aspects of tropical varieties (14T20) Rational points (14G05) Curves over finite and local fields (11G20) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] (p)-adic cohomology, crystalline cohomology (14F30)

Cites Work

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• Stable cohomology of the universal Picard varieties and the extended mapping class group
• The Picard group of the compactified universal Jacobian
• The Brauer-Manin obstruction for sections of the fundamental group
• The arithmetic of fundamental groups. PIA 2010. Based on a meeting, Heidelberg, Germany, February 8--12, 2010
• Sections of surface bundles
• On the homology groups of the mapping class groups of orientable surfaces with twisted coefficients
• Families of Jacobian manifolds and characteristic classes of surface bundles. I
• Exactness properties of profinite completion functors
• On sections of some holomorphic families of closed Riemann surfaces
• Local monodromy on the fundamental groups of algebraic curves along a degenerate stable curve
• Diagonal approximation and the cohomology ring of the fundamental groups of surfaces
• Galois sections for abelianized fundamental groups
• Duality theorems for curves over p-adic fields
• On the descending central series of groups with a single defining relation
• Cohomological topics in group theory.
• Cohomology theory of groups with a single defining relation
• Rational points of universal curves
• On the period-index problem in light of the section conjecture
• Brauer-Hilbertian Fields
• A Compactification of the Universal Picard Variety over the Moduli Space of Stable Curves
• THE STRONG FRANCHETTA CONJECTURE IN ARBITRARY CHARACTERISTICS
• Rational points of universal curves in positive characteristics
• GALOIS ACTIONS ON FUNDAMENTAL GROUPS OF CURVES AND THE CYCLE $C-C^{-}$
• The Period-Index Problem for Elliptic Curves

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