INVESTIGADORES
DICKENSTEIN Alicia Marcela
congresos y reuniones científicas
Título:
Mixed discriminants
Autor/es:
A DICKENSTEIN
Lugar:
Eindhoven
Reunión:
Conferencia; Algebra Seminar; 2013
Institución organizadora:
Technical University Eindhoven
Resumen:
My talk will summarize recent joint work with different coauthors about systems of n Laurent polynomials in n unknowns with fixed support sets. For special choices of the coefficients, two or more of their common solutions come together  and create a point of higher multiplicity. The conditions under which this happens are encoded in an irreducible polynomial in the coefficients called the mixed discriminant, whose zero locus is the variety of (numerically) ill-posed systems. Its degree is a piecewise linear function.