Vol. 8, No. 1, 2018

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ISSN: 1948-7916
A Macaulay2 package for computations with rational maps

Giovanni Staglianò

Vol. 8 (2018), 61–70
Abstract

The Macaulay2 package Cremona.m2 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.

Keywords
rational map, birational map, projective degrees, Segre class
Mathematical Subject Classification 2010
Primary: 14E05, 14Q15
Supplementary material

Cremona --- Macaulay2 package which performs computations on rational and birational maps between irreducible projective varieties.

Milestones
Received: 19 January 2017
Revised: 24 May 2018
Accepted: 11 June 2018
Published: 16 July 2018
Authors
Giovanni Staglianò
Dipartimento di Ingegneria Industriale e Scienze Matematiche
Università Politecnica delle Marche
Ancona
Italy