IMAS   23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
A relation between number of integral points, volumes of faces and degree of the discriminant of smooth lattice polytopes
Autor/es:
A. DICKENSTEIN, B. NILL, M. VERGNE
Revista:
COMPTES RENDUS MATHEMATIQUE
Editorial:
ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
Referencias:
Lugar: Paris; Año: 2012 vol. 350 p. 229 - 233
ISSN:
1631-073X
Resumen:
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 $\lceil \frac {\dim P} 2 \rceil$.