A Macaulay2 package for computations with rational maps

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.

To appear in Journal of Software for Algebra and Geometry

References in corpus (1)

• Congruences of 5-secant conics and the rationality of some admissible cubic fourfolds

Cited by in corpus (11)

• Congruences of 5-secant conics and the rationality of some admissible cubic fourfolds
• Explicit rationality of some cubic fourfolds
• Bring's curve: Old and New
• RationalMaps, a package for Macaulay2
• Geometric quadratic Chabauty and $p$-adic heights
• Computations with rational maps between multi-projective varieties
• On the algebraic boundaries among typical ranks for real binary forms
• Special cubic birational transformations of projective spaces
• Gluing determinantal Cremona maps
• On the rational Enriques-Fano threefolds discovered by Fano
• Plane polar Cremona maps of arbitrarily large degree in positive characteristic