IMAS   23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
Implicitization techniques: easy algorithms, deep proofs
Autor/es:
A DICKENSTEIN
Lugar:
Berkeley
Reunión:
Workshop; Connections for Women: Joint Workshop on Commutative Algebra and Cluster Algebras; 2012
Institución organizadora:
Mathematical Sciences Research Institute
Resumen:
We will describe the use of linear
syzygies for the implicitization of rational surfaces. These algebraic
techniques, based on the theory of approximation complexes due to Jürgen
Herzog, Aron Simis and Wolmer Vasconcelos, were introduced in this setting by
Laurent Busé, Marc Chardin and Jean Pierre Jouanolou. Their work was inspired
by the "practical" method of moving curves, proposed by Thomas
Sederberg and Falai Chen. We will focus on exploiting the monomial structure of
the polynomials defining the parametrization, following joint work with Nicolás
Botbol and Marc Dohm, and we will concentrate in expressing the theoretical
results into very concrete terms. Implementations in Macaulay2 were developed
by Nicolás Botbol, Marc Dohm and Manuel Dubinsky.