This package provides tools for calculating tangent and obstruction spaces as well as power series solutions for deformation problems involving isolated singularities and projective schemes, as well as deformations of modules.
A basic description of the package's approach to deformation problems can be found at the documentation node for versalDeformation. For details and mathematical background seeThe numerous examples presented in the documentation nodes for versalDeformation and localHilbertScheme are classical deformation problems, considered in the following articles:
The author thanks Jan Christophersen for helpful hints, especially regarding the computation of $T^2$.
Version 1.0 of this package was accepted for publication in volume 4 of The Journal of Software for Algebra and Geometry: Macaulay2 on 2012-06-05, in the article Versal deformations and local Hilbert schemes (DOI: 10.2140/jsag.2012.4.12). That version can be obtained from the journal.
This documentation describes version 3.0 of VersalDeformations.
If you have used this package in your research, please cite it as follows:
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The object VersalDeformations is a package, defined in VersalDeformations.m2.
The source of this document is in VersalDeformations.m2:518:0.