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arXiv · 1404.4552

On deformation and classification of V-systems

V. Schreiber·A. P. Veselov
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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.

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V. Schreiber, A. P. Veselov. 2014-11-05. On deformation and classification of V-systems. https://arxiv.org/abs/1404.4552

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