Séminaires : Séminaire de Géométrie Tropicale

Equipe(s) : aa,
Responsables :Penka Georgieva, Ilia Itenberg.
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Orateur(s) Eugenii Shustin - Tel Aviv University,
Titre Geometry of the tropical cuspidal edge
Horaire14:00 à 15:00
RésumeThe family of (uni)cuspidal curves forms a divisor (cuspidal edge) of the Severy variety parameterizing plane curves of given degree and genus. We study the tropical cuspidal edge that parametrizes plane marked cuspidal tropical curves of given degree and genus: we describe cells, which parametrize curves passing through the maximal possible number of generic points in the plane and consider arrangements of such cells sharing a common codimension one face. This leads to a solution of certain enumerative problems. Partly based on a joint work with Y. Ganor.