A relation between number of integral points, volumes of faces and degree of the discriminant of smooth lattice polytopes

We present a formula for the degree of the discriminant of a smooth projective toric variety associated to a lattice polytope P, in terms of the number of integral points in the interior of dilates of faces of dimension greater or equal than {top left corner}dimP/2{top right corner}. © 2012.

Detalles Bibliográficos
Autores principales: Dickenstein, A., Nill, B., Vergne, M.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_1631073X_v350_n5-6_p229_Dickenstein
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario:We present a formula for the degree of the discriminant of a smooth projective toric variety associated to a lattice polytope P, in terms of the number of integral points in the interior of dilates of faces of dimension greater or equal than {top left corner}dimP/2{top right corner}. © 2012.

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