seminar announcement Alicia Dickenstein

[Emilia Mezzetti]

*Seminar announcement **
*

**

*University of Trieste *


Thursday, 14th November 2019 at 2.30 p.m.

*Alicia Dickenstein, University of Buenos Aires & ICTP*

will speak on

*Iterated sparse discriminants and singular intersections of hypersurfaces*

Abstract: It it well known that two generic quadric surfaces intersect 
in a nonsingular quartic space curve, but when the intersection is not 
transverse this intersection curve may degenerate to a finite number of 
different possible types of singular curves.  In the nice paper by 
Farouki et al. (1989), the authors formulate a way of computing the 
condition for a degenerate intersection in this case, which refines in 
the real case and with an algorithmic point of view a classical treatise 
by Bromwich (1906). Independently, Schläfli (1953) studied the 
degenerate intersection of two hypersurfaces described by multilinear 
equations.

In joint work with S. di Rocco and R. Morrison,  we present a general 
framework of iterated sparse discriminants to characterize the singular 
intersection of hypersurfaces with a given monomial support A, which 
generalizes both previous situations. We  study the connection of 
iterated discriminants with the notion of mixed discriminant and the 
singularities of the sparse discriminant associated to A.


VENUE: Seminar room DMG, Sezione di Matematica e Informatica, H2 
building, Via A. Valerio 12/1, 3rd floor, room 334


EVERYBODY INTERESTED IS MUCH WELCOME TO ATTEND

-- 
Prof.ssa Emilia Mezzetti
Dipartimento di Matematica e Geoscienze
Sezione di Matematica e Informatica
Università degli Studi di Trieste
Via A.Valerio 12/1
34127 Trieste, Italia

Stanza 227, II piano
e-mail: mezzette at units.it
tel. studio (++) 040 558 2650
tel. casa: (++) 040 43655
tel. segreteria Dip.: (++)040 558 2635
fax: (++) 040 558 2636

http://www.dmi.units.it/~mezzette/