Modular deformations of analytic polyhedra

Mathematics – Algebraic Geometry

Scientific paper

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19 pages

Scientific paper

The theory of modular deformations is generalized for the category of complex
analytic polyhedra which includes germs of complex space as well as any compact
complex analytic space. The objective of the theory is a construction of fine
moduli spaces. We also discuss new examples of modular families obtained by
means of a computer algebra program.

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