The idea of studying rational maps by looking at the syzygies of the base ideal is a relatively new idea that has now become an important research topic. In this talk, we will discuss some recent results that lead to birationality criteria and formulas for the degree of rational maps that depend on the algebraic properties of the syzygies of the base ideal. Mainly, we will introduce a new algebra called "saturated special fiber ring" and we will discuss its relations with the degree and birationality of rational maps between irreducible projective varieties. Time permitting, we will also discuss some results in the problem of specializing the coefficients of a rational map. This talk is based on joint works with Laurent Busé and Carlos D’Andrea and with Aron Simis.
You are here
Saturated special fiber ring and rational maps
Research Group:
Yairon Cid Ruiz
Institution:
Universitat de Barcelona
Location:
Euler Lecture Hall, ICTP
Schedule:
Tuesday, February 12, 2019  14:30
Abstract:
Openings
 Public Calls for Professors
 Temporary Professors/Researchers/Visiting Professors
 SISSA Mathematical Fellowships
 Marie SklodowskaCurie Grants
 Post Doctoral Fellowships
 PhD Scolarships
 SIS Fellowships
 Undergraduate Fellowships
 Postgraduate Fellowships
 MSc in Mathematics
 MSc in Data Science and Scientific Computing (DSSC)
 Professional Master Courses
Upcoming events

Kiyokazu Nagatomo
Vertex operator algebras whose dimensions of weight one spaces are 8 and 16
Thursday, October 17, 2019  16:00

Martin Andler
The ups and downs of the development of mathematics in France since 1870
Tuesday, October 22, 2019  10:00

Stefano Scrobogna
Stabilization of the RayleighTaylor instability of an underlying fluid layer
Tuesday, October 22, 2019  11:00

Abed Bounemoura
Positive measure of KAM tori for finitely differentiable Hamiltonians
Thursday, October 24, 2019  16:00
Today's Lectures

09:00 to 11:00

09:00 to 11:00

11:00 to 13:00

11:00 to 13:00

11:00 to 13:00

14:00 to 16:00

14:00 to 16:00

14:00 to 16:00

16:00 to 18:00
Recent publications

R. Feola; F. Giuliani; R. Montalto; M. Procesi,Reducibility of first order li...

F. Riva,A continuous dependence result...

A. Mola; M. Tezzele; M. Gadalla; F. Valdenazzi; D. Grassi; R. Padovan; G. Rozza,Efficient Reduction in Shape P...

C. Beltrán; K. Kozhasov,The Real Polynomial Eigenvalue...