TL;DR
This paper proves that every cubic surface over the complex numbers can be represented as a Pfaffian, providing a constructive method to do so, which advances understanding of algebraic surface representations.
Contribution
It establishes that all cubic surfaces are Pfaffian and offers a constructive proof, filling a gap in algebraic geometry regarding surface representations.
Findings
All cubic surfaces are Pfaffian.
Constructive method for Pfaffian representation.
Enhances understanding of algebraic surface structures.
Abstract
We prove that every cubic surface in is Pfaffian. A constructive proof is given.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Polynomial and algebraic computation · Computational Geometry and Mesh Generation