| Degeneration of Algebraic Hypersurfaces and Applications to Moduli Problems Contributor(s): Manetti, Marco (Author) |
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ISBN: 8876422773 ISBN-13: 9788876422775 Publisher: Edizioni Della Normale OUR PRICE: $14.20 Product Type: Paperback Published: October 1996 |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - Algebraic |
| Dewey: 516.35 |
| Series: Publications of the Scuola Normale Superiore (Psns) |
| Physical Information: 0.28" H x 6.68" W x 9.47" (0.49 lbs) 142 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |