Complex Variables

math.CV

Holomorphic functions, automorphic forms, and complex geometry.

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Sharp Region Classifies Degree-Three Rational Sphere Map Denominators

Gram-matrix positivity converts the boundary identity into finite-dimensional linear algebra, yielding an exact two-parameter admissibility region and a complete dimension classification.

math.CV

Sep 3, 20264 min2608.29451

Mathematics

Three Exceptional Values Do Not Force Bounded Type

A symmetric meromorphic construction places the preimages of 0, 1, and infinity on the real axis while making every other point divisor non-Blaschke in both half-planes.

math.CV

Aug 29, 20264 min2608.26062