Abstract
Abstract: Many physical questions such as superconformal field theories, the Coulomb branch spectrum, and the Seiberg–Witten solutions are related to singularities. In this paper, we introduce some new invariants,, and of isolated hypersurface singularities. We give a new conjecture for the characterization of simple curve singularities using the th higher Nash blow-up derivation Lie algebra. This conjecture is verified for small and. A inequality conjecture for and is proposed. These two conjectures are verified for binomial singularities.
| Original language | English |
|---|---|
| Pages (from-to) | 705-741 |
| Number of pages | 37 |
| Journal | Theoretical and Mathematical Physics(Russian Federation) |
| Volume | 223 |
| Issue number | 2 |
| DOIs | |
| State | Published - May 2025 |
Bibliographical note
Publisher Copyright:© Pleiades Publishing, Ltd. 2025.
Keywords
- Nash blow-up
- derivations
- isolated hypersurface singularity
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics