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Publications of the Scuola Normale Superiore

Degeneration of algebraic hypersurfaces and applications to moduli problems

Authors: Manetti, Marco

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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.

Buy this book

Softcover $14.95
price for USA
  • ISBN 978-88-7642-277-5
  • Free shipping for individuals worldwide
  • This title is currently reprinting. You can pre-order your copy now.

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Bibliographic Information

Bibliographic Information
Book Title
Degeneration of algebraic hypersurfaces and applications to moduli problems
Authors
Series Title
Publications of the Scuola Normale Superiore
Copyright
1996
Publisher
Edizioni della Normale
Copyright Holder
Edizioni della Normale
Softcover ISBN
978-88-7642-277-5
Edition Number
1
Number of Pages
142
Topics