MARC details
| 000 -LEADER |
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| fixed length control field |
02124nam a22002777a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
IIITD |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20250521173009.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
250514b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783031241536 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
IIITD |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
516.35 |
| Item number |
BUS-A |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Buse, Laurent |
| 245 ## - TITLE STATEMENT |
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| Title |
Algebraic curves and surfaces : |
| Remainder of title |
a history of shapes |
| Statement of responsibility, etc |
by Laurent Buse, Fabrizio Catanese and Elisa Postinghel |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Switzerland : |
| Name of publisher, distributor, etc |
Springer, |
| Date of publication, distribution, etc |
©2023 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xiv, 205 p. : |
| Other physical details |
ill. ; |
| Dimensions |
24 cm. |
| 490 ## - SERIES STATEMENT |
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| Series statement |
SISSA Springer Series |
| Volume number/sequential designation |
4 |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Title |
1. The P12-Theorem: The Classification of Surfaces and Its Historical Development |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Title |
2. Linear Systems of Hypersurfaces with Singularities and Beyond |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Title |
3. Implicit Representations of Rational Curves and Surfaces |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
This volume collects the lecture notes of the school TiME2019 (Treasures in Mathematical Encounters). The aim of this book is manifold, it intends to overview the wide topic of algebraic curves and surfaces (also with a view to higher dimensional varieties) from different aspects: the historical development that led to the theory of algebraic surfaces and the classification theorem of algebraic surfaces by Castelnuovo and Enriques; the use of such a classical geometric approach, as the one introduced by Castelnuovo, to study linear systems of hypersurfaces; and the algebraic methods used to find implicit equations of parametrized algebraic curves and surfaces, ranging from classical elimination theory to more modern tools involving syzygy theory and Castelnuovo-Mumford regularity. Since our subject has a long and venerable history, this book cannot cover all the details of this broad topic, theory and applications, but it is meant to serve as a guide for both young mathematicians to approach the subject from a classical and yet computational perspective, and for experienced researchers as a valuable source for recent applications.<br/>Collapse summary |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Algebraic Geometry |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Algebra |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Catanese, Fabrizio |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Postinghel, Elisa |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Koha item type |
Books |
| Source of classification or shelving scheme |
Dewey Decimal Classification |
