IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
Singular tropical hypersurfaces
Autor/es:
A. DICKENSTEIN
Lugar:
Raleigh, NC
Reunión:
Simposio; Minisymposium on Tropical Geometry, AG11; 2011
Institución organizadora:
SIAM, USA
Resumen:
p { margin-bottom: 0.21cm; }
The concept of a singular
point of a tropical variety is not well established yet. A
natural definition is to declare a point q in a tropical variety V
singular if q is the image under the valuation of a singular point of
a classical algebraic variety, defined over the field of Puiseux
series and with tropicalization V.We present a purely
tropical characterization of a singularity of a tropical hypersurface
of arbitrary dimension (with fixed support) in terms of tropical
Euler derivatives. We also describe in this settingnon-transversal
intersections of planar tropical curves. We show an algorithm
to compute all singularities and we relate our approach to the known
tropicalization of the discriminant.This is joint work with
Luis F. Tabera (U. Cantabria).
