On deformation and classification of V-systems
Mathematical Physics
2014-11-06 v2 math.MP
Abstract
The V-systems are special finite sets of covectors which appeared in the theory of the generalized Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations. Several families of V-systems are known but their classification is an open problem. We derive the relations describing the infinitesimal deformations of V-systems and use them to study the classification problem for V-systems in dimension 3. We discuss also possible matroidal structures of V-systems in relation with projective geometry and give the catalogue of all known irreducible rank 3 V-systems.
Cite
@article{arxiv.1404.4552,
title = {On deformation and classification of V-systems},
author = {V. Schreiber and A. P. Veselov},
journal= {arXiv preprint arXiv:1404.4552},
year = {2014}
}
Comments
Slightly revised version, one of the figures corrected