TL;DR
This paper presents an algorithm for computing components of Humbert surfaces using Rosenhain invariants, leveraging Runge's method to improve computational efficiency in algebraic geometry.
Contribution
The paper introduces a novel algorithm that computes Humbert surfaces in terms of Rosenhain invariants utilizing Runge's method, advancing computational techniques in algebraic geometry.
Findings
Successfully computes Humbert surface components
Demonstrates efficiency of Runge's method in this context
Provides explicit examples of computed surfaces
Abstract
We describe an algorithm which computes components of Humbert surfaces in terms of Rosenhain invariants, based on Runge's method
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Geometric and Algebraic Topology