Lectures in Real Geometry. (Record no. 64175)
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| 000 -LEADER | |
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| fixed length control field | 04973nam a22004933i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3040487 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124315.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s1996 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783110811117 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9783110150957 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3040487 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3040487 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr10588248 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaONFJC)MIL558695 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)922943390 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA551 -- .L29 1996eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516.35 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Broglia, Fabrizio. |
| 245 10 - TITLE STATEMENT | |
| Title | Lectures in Real Geometry. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Berlin/Boston : |
| Name of producer, publisher, distributor, manufacturer | Walter de Gruyter GmbH, |
| Date of production, publication, distribution, manufacture, or copyright notice | 1996. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©1996. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (282 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | De Gruyter Expositions in Mathematics Series ; |
| Volume/sequential designation | v.23 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- Foreword -- Introduction -- Basic algorithms in real algebraic geometry and their complexity: from Sturm's theorem to the existential theory of reals -- 1. Introduction -- 2. Real closed fields -- 2.1. Definition and first examples of real closed fields -- 2.2. Cauchy index and real root counting -- 3. Real root counting -- 3.1. Sylvester sequence -- 3.2. Subresultants and remainders -- 3.3. Sylvester-Habicht sequence -- 3.4. Quadratic forms, Hankel matrices and real roots -- 3.5. Summary and discussion -- 4. Complexity of algorithms -- 5. Sign determinations -- 5.1. Simultaneous inequalities -- 5.2. Thom's lemma and its consequences -- 6. Existential theory of reals -- 6.1. Solving multivariate polynomial systems -- 6.2. Some real algebraic geometry -- 6.3. Finding points on hypersurfaces -- 6.4. Finding non empty sign conditions -- References -- Nash functions and manifolds -- 1. Introduction -- 2. Nash functions -- 3. Approximation Theorem -- 4. Nash manifolds -- 5. Sheaf theory of Nash function germs -- 6. Nash groups -- References -- Approximation theorems in real analytic and algebraic geometry -- Introduction -- I. The analytic case -- 1. The Whitney topology for sections of a sheaf -- 2. A Whitney approximation theorem -- 3. Approximation for sections of a sheaf -- 4. Approximation for sheaf homomorphisms -- II. The algebraic case -- 5. Preliminaries on real algebraic varieties -- 6. A- and B-coherent sheaves -- 7. The approximation theorems in the algebraic case -- III. Algebraic and analytic bundles -- 8. Duality theory -- 9. Strongly algebraic vector bundles -- 10. Approximation for sections of vector bundles -- References -- Real abelian varieties and real algebraic curves -- Introduction -- 1. Generalities on complex tori -- 1.1. Complex tori -- 1.2. Homology and cohomology of tori -- 1.3. Morphisms of complex tori. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1.4. The Albanese and the Picard variety -- 1.5. Line bundles on complex tori -- 1.6. Polarizations -- 1.7. Riemann's bilinear relations and moduli spaces -- 2. Real structures -- 2.1. Definition of real structures -- 2.2. Real models -- 2.3. The action of conjugation on functions and forms -- 2.4. The action of conjugation on cohomology -- 2.5. A theorem of Comessatti -- 2.6. Group cohomology -- 2.7. The action of conjugation on the Albanese variety and the Picard group -- 2.8. Period matrices in pseudonormal form and the Albanese map -- 3. Real abelian varieties -- 3.1. Real structures on complex tori -- 3.2. Equivalence classes for real structures on complex tori -- 3.3. Line bundles on complex tori with a real structure -- 3.4. Riemann bilinear relations for principally polarized real varieties -- 3.5. Moduli spaces of principally polarized real abelian varieties -- 3.6. Real theta functions -- 4. Applications to real curves -- 4.1. The Jacobian of a real curve -- 4.2. Real theta-characteristics -- 4.3. Examples -- 4.4. Moduli spaces and the theorem of Torelli -- 4.5. Singular curves -- References -- Appendix -- Mario Raimondo's contributions to real geometry -- Mario Raimondo's contributions to computer algebra. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | No detailed description available for "Lectures in Real Geometry". |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Geometry, Analytic. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Geometry, Algebraic. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Broglia, Fabrizio |
| Title | Lectures in Real Geometry |
| Place, publisher, and date of publication | Berlin/Boston : Walter de Gruyter GmbH,c1996 |
| International Standard Book Number | 9783110150957 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #3 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | De Gruyter Expositions in Mathematics Series |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3040487">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3040487</a> |
| Public note | Click to View |
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