Nonlinear descent on moduli of local systems
From MaRDI portal
Publication:2218739
DOI10.1007/s11856-020-2085-xzbMath1464.14017arXiv1710.01848OpenAlexW3096505257MaRDI QIDQ2218739
Publication date: 18 January 2021
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.01848
Group actions on varieties or schemes (quotients) (14L30) Rational points (14G05) Algebraic moduli problems, moduli of vector bundles (14D20) Cubic and quartic Diophantine equations (11D25) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)
Related Items (7)
Integral points on Markoff type cubic surfaces ⋮ Surface group representations in \(\mathrm{SL}_2(\mathbb{C})\) with finite mapping class orbits ⋮ Brauer-Manin obstruction for integral points on Markoff-type cubic surfaces ⋮ Dominating surface-group representations into \(\mathrm{PSL}_2 (\mathbb{C})\) in the relative representation variety ⋮ Arithmetic and dynamics on varieties of Markoff type ⋮ Nonabelian level structures, Nielsen equivalence, and Markoff triples ⋮ The rank two \(p\)-curvature conjecture on generic curves
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Short loop decompositions of surfaces and the geometry of Jacobians
- Markoff triples and strong approximation
- Algebraic solutions of the sixth Painlevé equation
- Arithmetic subgroups of algebraic groups
- Varieties of group representations and splittings of 3-manifolds
- Diophantine approximation on abelian varieties
- The Markoff equation \(X^ 2+Y^ 2+Z^ 2=aXYZ\) over quadratic imaginary fields
- Filling Riemannian manifolds
- Arithmetic Fuchsian groups with signature \((1;e)\)
- Diophantine approximations and value distribution theory
- Siegel's theorem in the compact case
- Archimedean superrigidity and hyperbolic geometry
- Harmonic maps of manifolds with boundary
- A characterization of arithmetic Fuchsian groups
- The invariant theory of \(n\times n\) matrices
- Ergodic theory on moduli spaces
- Density of integer points on affine homogeneous varieties
- Harmonic maps, hyperbolic cohomology and higher Milnor inequalities
- Integral solutions of Markoff-Hurwitz equations
- The modular group action on real \(SL(2)\)-characters of a one-holed torus
- Harmonic maps into singular spaces and \(p\)-adic superrigidity for lattices in groups of rank one
- On skein algebras and \(Sl_2(\mathbb{C})\)-character varieties
- Arithmetic hyperbolic surface bundles
- Integral points on subvarieties of semiabelian varieties. I
- An asymptotic formula for integer points on Markoff-Hurwitz varieties
- Ergodicity of Mapping Class Group Actions on SU(2)-character varieties
- Trace Coordinates on Fricke spaces of some simple hyperbolic surfaces
- Hyperbolic and Diophantine analysis
- Twisted Harmonic Maps and the Self-Duality Equations
- On the Number of Markoff Numbers Below a Given Bound
- Asymptotic Formulas Related to Free Products of Cyclic Groups
- Some properties and applications of harmonic mappings
- Rational curves on quasi-projective surfaces
- Dominating Surface Group Representations by Fuchsian Ones
- Global geometry on moduli of local systems for surfaces with boundary
- Modular functors, cohomological field theories, and topological recursion
- Characters of free groups represented in the two‐dimensional special linear group
- A Remark on Mahler's Compactness Theorem
- Harmonic Mappings of Riemannian Manifolds
- On the Integer Solutions of the Equation x 2 +y 2 +z 2 +2xyz = n
- On Solutions of xd = 1 In Symmetric Groups
This page was built for publication: Nonlinear descent on moduli of local systems