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Item Details
| Title:
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PERIOD MAPPINGS AND PERIOD DOMAINS
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| By: |
James Carlson, Stefan Muller-Stach, Chris Peters |
| Format: |
Hardback |
| List price:
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£110.00 |
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We believe that this item is permanently unavailable, and so we cannot source
it.
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| ISBN 10: |
0521814669 |
| ISBN 13: |
9780521814669 |
| Publisher: |
CAMBRIDGE UNIVERSITY PRESS |
| Pub. date: |
20 October, 2003 |
| Series: |
Cambridge Studies in Advanced Mathematics No.85 |
| Pages: |
448 |
| Description: |
This 2003 book discusses the basic properties of period maps and period domains. |
| Synopsis: |
The period matrix of a curve effectively describes how the complex structure varies; this is Torelli's theorem dating from the beginning of the nineteenth century. In the 1950s during the first revolution of algebraic geometry, attention shifted to higher dimensions and one of the guiding conjectures, the Hodge conjecture, got formulated. In the late 1960s and 1970s Griffiths, in an attempt to solve this conjecture, generalized the classical period matrices introducing period domains and period maps for higher-dimensional manifolds. He then found some unexpected new phenomena for cycles on higher-dimensional algebraic varieties, which were later made much more precise by Clemens, Voisin, Green and others. This 2003 book presents this development starting at the beginning: the elliptic curve. This and subsequent examples (curves of higher genus, double planes) are used to motivate the concepts that play a role in the rest of the book. |
| Illustrations: |
20 b/w illus. |
| Publication: |
UK |
| Imprint: |
Cambridge University Press |
| Returns: |
Returnable |
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