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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.

169,291 papers · 148 categories

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3 results for “jet-interpolation”

Complete CMC-1 surfaces in hyperbolic space with arbitrary complex structuremath.DG

The abstract proves the existence of CMC-1 surfaces with any complex structure in hyperbolic space.

problem Proving the existence of CMC-1 surfaces with arbitrary complex structures in hyperbolic space.

method Using a jet interpolation theorem and a uniform approximation theorem for holomorphic null curves.

result Existence of complete densely immersed CMC-1 surfaces in hyperbolic space with arbitrary complex structure.

hyperbolic space CMC-1 surfaces complex structure jet interpolation holomorphic null curves

2023-06-26abs ↗pdf ↗

Interpolation by conformal minimal surfaces and directed holomorphic curvesmath.DG

The paper proves interpolation of minimal surfaces and holomorphic curves.

problem Interpolating minimal surfaces and holomorphic curves on Riemann surfaces.

method Using conformal minimal immersions and directed holomorphic curves.

result One can prescribe values of conformal minimal immersions and directed holomorphic curves on closed discrete subsets of Riemann surfaces.

minimal surfaces holomorphic curves Riemann surfaces conformal immersions jet-interpolation

2017-01-16abs ↗pdf ↗

Holomorphic null curves in the special linear groupmath.DG

The paper develops theory for holomorphic null curves in SL2(C).

problem Developing theory for holomorphic null curves in SL2(C).

method Establish Runge, Mergelyan, Mittag-Leffler, and Carleman type theorems for holomorphic null immersions.

result Proves every open Riemann surface admits a proper holomorphic null embedding into SL2(C).

holomorphic null curves special linear group Runge theorem Mergelyan theorem Carleman theorem

2025-03-19abs ↗pdf ↗