Applications of Level Curves to Some Problems on Algebraic Surfaces

Details Applications of Level Curves to Some Problems on Algebraic Surfaces Applications of Level Curves to Some Problems on Algebraic Surfaces

2007-10-17

arxiv.org/abs/0710.3352v1

Mathematics

Algebraic Geometry

18 pages, 6 figures

Scientific paper

In a previous work of the authors, a result to algorithmically compute the
topology types of the level curves of an algebraic surface, is given. From this
result, here we derive applications based on level curves to determine some
topological features of surfaces (reality, compactness, connectivity) and to
the problem of plotting.

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