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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,742 papers · 148 categories

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3 results for “orbi-curves”

Symmetric differentials and the dimension of Hitchin components for orbi-curvesmath.AG

Researchers simplified Hitchin component computation for orbifold groups.

problem Computing the dimension of Hitchin components for orbifold groups.

method Reduction to orbi-curves and application of orbifold Riemann-Roch theorem.

result Dimension of Hitchin component computation simplified.

Hitchin components orbifold groups orbi-curves Riemann-Roch theorem

2019-11-26abs ↗pdf ↗

Uniformization as Tannakian Reconstructionmath.AG

The paper uses Tannakian reconstruction to understand hyperbolic log-orbi curves.

problem Understanding the structure of hyperbolic log-orbi curves.

method Formulates hyperbolic uniformization as a Tannakian reconstruction theorem and constructs a canonical maximal parahoric PSL2-Higgs object.

result Reconstructs the absolute Galois group of a one-variable complex function field as the inverse limit of etale fundamental groups of orbifold models.

Tannakian reconstruction hyperbolic uniformization log-orbi curves Fuchsian lattices absolute Galois group

2026-05-25abs ↗pdf ↗

Orbifolds and the modular curvemath.AG

Constructs the moduli stack of elliptic curves as an orbifold.

problem Moduli stack construction for elliptic curves.

method Analytic orbifold construction, non-effective actions.

result Provides a self-contained account for young researchers.

moduli stack elliptic curves orbifold differential geometry algebraic geometry

2023-12-28abs ↗pdf ↗