Conditions for the vanishing of the genus-2 G-function
Xiaobo Liu, Xin Wang
TL;DR
This paper establishes sufficient conditions for the genus-2 G-function to vanish and confirms a conjecture related to ADE singularities, advancing understanding in algebraic geometry and singularity theory.
Contribution
It provides new criteria for the vanishing of the genus-2 G-function and proves a conjecture for ADE singularities.
Findings
Sufficient conditions for genus-2 G-function vanishing
Proof of the conjecture for ADE singularities
Enhanced understanding of G-function behavior in singularity theory
Abstract
In this paper we give some sufficient conditions for the vanishing of the genus-2 G-function, which was introduced by B. Dubrovin, S. Liu and Y. Zhang in [DLZ]. As a corollary we prove their conjecture for the vanishing of the genus-2 G-function for ADE singularities.
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Taxonomy
TopicsCoding theory and cryptography · Algebraic Geometry and Number Theory · Analytic Number Theory Research