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Keywords
- algebraic hypersurfaces
- def=diff? Problem moduli space
- moduli space
About this book
An important question concerning algebraic geometry and differential topology is the so-called def=diff? problem: are two complex structures on a closed compact differentiable 2n-manifold deformation of each other? In the case n=1 it is a classical result that the answer is yes, while in case n=2 the above question (Friedman-Morgan conjecture) has a positive answer in some cases, but in general is still unsolved. If we restrict to minimal algebraic surfaces of general type the above question can be interpreted in terms of properties of the moduli space of surfaces of general type. The main goal of this thesis is to study the general connectedness properties of moduli spaces of surfaces of general type and to construct some algebraic manifolds with the same underlying manifold structure that cannot be continuously deformed one in the other.
Authors and Affiliations
Bibliographic Information
Book Title: Degeneration of algebraic hypersurfaces and applications to moduli problems
Authors: Marco Manetti
Series Title: Publications of the Scuola Normale Superiore
Publisher: Edizioni della Normale Pisa
Copyright Information: Edizioni della Normale 1996
Softcover ISBN: 978-88-7642-277-5Due: 01 October 1996
Series ISSN: 2239-1460
Series E-ISSN: 2532-1668
Edition Number: 1
Number of Pages: 142