A Macaulay2 package for computations with rational maps
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Publication:1755198
DOI10.2140/jsag.2018.8.61zbMath1408.14050arXiv1701.05329OpenAlexW2582404631WikidataQ129202118 ScholiaQ129202118MaRDI QIDQ1755198
Publication date: 8 January 2019
Published in: The Journal of Software for Algebra and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.05329
Related Items (13)
Companion varieties for root systems and Fermat arrangements ⋮ Computations with rational maps between multi-projective varieties ⋮ On Enriques-Fano threefolds and a conjecture of Castelnuovo ⋮ On the singularities and on the projective normality of some Enriques-Fano threefolds ⋮ Geometric quadratic Chabauty and \(p\)-adic heights ⋮ RationalMaps, a package for Macaulay2 ⋮ Bring's curve: old and new ⋮ Trisecant flops, their associated \(K3\) surfaces and the rationality of some cubic fourfolds ⋮ Plane polar Cremona maps of arbitrarily large degree in positive characteristic ⋮ On the algebraic boundaries among typical ranks for real binary forms ⋮ Some new rational Gushel fourfolds ⋮ Special cubic birational transformations of projective spaces ⋮ On some families of Gushel-Mukai fourfolds
Uses Software
Cites Work
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- Algorithms to compute the topological Euler characteristic, Chern-Schwartz-MacPherson class and Segre class of projective varieties
- Computing Segre classes in arbitrary projective varieties
- Examples of special quadratic birational transformations into complete intersections of quadrics
- Computing characteristic classes of projective schemes.
- Computing characteristic classes and the topological Euler characteristic of complex projective schemes
- Cremona transformations and some related algebras
- Special cubic Cremona transformations of \(\mathbb{P}^{6}\) and \(\mathbb{P}^{7}\)
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