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Published in:
2014 | OriginalPaper | Chapter
On Computing a Cell Decomposition of a Real Surface Containing Infinitely Many Singularities
Authors : Daniel J. Bates, Daniel A. Brake, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler
Published in: Mathematical Software – ICMS 2014
Publisher: Springer Berlin Heidelberg
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Numerical algorithms for decomposing the real points of a complex curve or surface in any number of variables have been developed and implemented in the new software package
Bertini_real
. These algorithms use homotopy continuation to produce a cell decomposition. The previously existing algorithm for surfaces is restricted to the “almost smooth” case, i.e., the given surface must contain only finitely many singular points. We describe the use of isosingular deflation to remove this almost smooth condition and describe an implementation of deflation via
Bertini
with
MATLAB
.