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MultiprojectiveVarieties -- Multi-projective varieties and multi-rational maps

Description

This is a package for handling multi-projective varieties, that is, closed subvarieties of products of projective spaces, and rational maps between them. This extends the package Cremona, which treats rational maps from multi-projective varieties to standard projective varieties, $X\subseteq \mathbb{P}^{k_1}\times\mathbb{P}^{k_2}\times\cdots\times\mathbb{P}^{k_n}\dashrightarrow Y\subseteq\mathbb{P}^N$.

References

ArXiv preprint: Computations with rational maps between multi-projective varieties.

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Author

Certification a gold star

Version 2.3 of this package was accepted for publication in volume 11 of The Journal of Software for Algebra and Geometry on 31 August 2021, in the article Computations with rational maps between multi-projective varieties (DOI: 10.2140/jsag.2021.11.143). That version can be obtained from the journal.

Version

This documentation describes version 2.7.1 of MultiprojectiveVarieties.

Citation

If you have used this package in your research, please cite it as follows:

@misc{MultiprojectiveVarietiesSource,
  title = {{MultiprojectiveVarieties: multi-projective varieties and multi-rational maps. Version~2.7.1}},
  author = {Giovanni Staglian{\`o}},
  howpublished = {A \emph{Macaulay2} package available at
    \url{https://github.com/Macaulay2/M2/tree/master/M2/Macaulay2/packages}}
}

@article{MultiprojectiveVarietiesArticle,
  title = {{Computations with rational maps between multi-projective varieties}},
  author = {Giovanni Staglian{\`o}},
  journal = {The Journal of Software for Algebra and Geometry},
  volume = {11},
  year = {2021},
}

Exports

For the programmer

The object MultiprojectiveVarieties is a package, defined in MultiprojectiveVarieties.m2.


The source of this document is in MultiprojectiveVarieties.m2:2443:0.