Multidegrees at the crossroads of algebra, geometry and combinatorics
- Yairon Cid Ruiz (Ghent University)
The concept of multidegrees provides the right generalization of degree to a multiprojective setting, and its study goes back to seminal work by van der Waerden in 1929. We will give a basic introduction to the notion of multidegrees of a multiprojective variety. Then, a complete characterization for the positivity of multidegrees will be presented. Finally, we will review some important applications that derive from the use of multidegrees.