Giovanni Staglianò
tlooto Summary
The Macaulay2 package Cremona provides methods to compute degrees and projective degrees of rational maps without any theoretical limitation, from which is derived a general method to compute the push-forward to projective space of Segre classes.
Abstract
The Macaulay2 package Cremona performs some computations on rational and birational maps between irreducible projective varieties. For instance, it provides methods to compute degrees and projective degrees of rational maps without any theoretical limitation, from which is derived a general method to compute the push-forward to projective space of Segre classes. Moreover, the computations can be done both deterministically and probabilistically. We give here a brief description of the methods and algorithms implemented.
Citation format
STAGLIANÒ, Giovanni. A macaulay2 package for computations with rational maps [preprint]. arXiv, 2017. arXiv:1701.05329.