| 000 -LEADER |
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| fixed length control field |
nam a22 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
240218b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783540939122 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
516.35 |
| Item number |
MOC |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Mochizuki, Takuro |
| 245 ## - TITLE STATEMENT |
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| Title |
Donaldson type invariants for algebraic surfaces : transition of moduli stacks |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Name of publisher, distributor, etc |
Springer, |
| Place of publication, distribution, etc |
Berlin : |
| Date of publication, distribution, etc |
2009 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xxiii, 383 p. ; |
| Other physical details |
ill., |
| Dimensions |
24 cm. |
| 365 ## - TRADE PRICE |
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| Price amount |
56.95 |
| Price type code |
€ |
| Unit of pricing |
5398.86 |
| 490 ## - SERIES STATEMENT |
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| Series statement |
Lecture notes in mathematics |
| Volume number/sequential designation |
v.1972 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
We are defining and studying an algebro-geometric analogue of Donaldson invariants by using moduli spaces of semistable sheaves with arbitrary ranks on a polarized projective surface. We are interested in relations among the invariants, which are natural generalizations of the "wall-crossing formula" and the "Witten conjecture" for classical Donaldson invariants. Our goal is to obtain a weaker version of these relations, by systematically using the intrinsic smoothness of moduli spaces. According to the recent excellent work of L. Goettsche, H. Nakajima and K. Yoshioka, the wall-crossing formula for Donaldson invariants of projective surfaces can be deduced from such a weaker result in the rank two case! |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Rank Two Case |
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| Topical term or geographic name as entry element |
Obstruction theory |
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| Topical term or geographic name as entry element |
Semistable sheaves |
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| Topical term or geographic name as entry element |
Smooth function |
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| Topical term or geographic name as entry element |
Transition of moduli stacks |
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| Topical term or geographic name as entry element |
Algebraic surface |
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| Topical term or geographic name as entry element |
Invariant theory |
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| Topical term or geographic name as entry element |
Chern class |
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| Topical term or geographic name as entry element |
Coherent sheaf |
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| Topical term or geographic name as entry element |
Donaldson invariants |
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| Topical term or geographic name as entry element |
Hilbert polynomial |
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| Topical term or geographic name as entry element |
Moduli stack |
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| Topical term or geographic name as entry element |
Obstruction theory |
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Quasi-isomorphism |
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| Topical term or geographic name as entry element |
Smooth morphism |
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| Topical term or geographic name as entry element |
Tautological line bundle |
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| Topical term or geographic name as entry element |
Vector bundle |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
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| Item type |
Books |