On deformation and classification of V-systemsстатья
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Дата последнего поиска статьи во внешних источниках: 24 декабря 2014 г.
Аннотация: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.