Rigid cohomology / (Record no. 517794)
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| 000 -LEADER | |
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| fixed length control field | 03747nam a22003498i 4500 |
| 001 - CONTROL NUMBER | |
| control field | CR9780511543128 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | UkCbUP |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200124160233.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION | |
| fixed length control field | m|||||o||d|||||||| |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr|||||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 090505s2007||||enk o ||1 0|eng|d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780511543128 (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9780521875240 (hardback) |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | UkCbUP |
| Language of cataloging | eng |
| Description conventions | rda |
| Transcribing agency | UkCbUP |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA612.3 |
| Item number | .L4 2007 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 514.23 |
| Edition number | 22 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Le Stum, Bernard, |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Rigid cohomology / |
| Statement of responsibility, etc | Bernard Le Stum. |
| 264 #1 - Production, Publication, Distribution, Manufacture, and Copyright Notice (R) | |
| Place of production, publication, distribution, manufacture (R) | Cambridge : |
| Name of producer, publisher, distributor, manufacturer (R) | Cambridge University Press, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2007. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xv, 319 pages) : |
| Other physical details | digital, PDF file(s). |
| 336 ## - Content Type (R) | |
| Content type term (R) | text |
| Content type code (R) | txt |
| Source (NR) | rdacontent |
| 337 ## - Media Type (R) | |
| Media type term (R) | computer |
| Media type code (R) | c |
| Source (NR) | rdamedia |
| 338 ## - Carrier Type (R) | |
| Carrier type term (R) | online resource |
| Carrier type code (R) | cr |
| Source (NR) | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| სერიის ცნობა | Cambridge tracts in mathematics ; |
| Volume number/sequential designation | 172 |
| 500 ## - GENERAL NOTE | |
| General note | Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
| 505 00 - FORMATTED CONTENTS NOTE | |
| Miscellaneous information | 1.1 |
| Title | Alice and Bob |
| Miscellaneous information | 1 -- |
| -- | 1.2 |
| Title | Complexity |
| Miscellaneous information | 2 -- |
| -- | 1.3 |
| Title | Weil conjectures |
| Miscellaneous information | 3 -- |
| -- | 1.4 |
| Title | Zeta functions |
| Miscellaneous information | 4 -- |
| -- | 1.5 |
| Title | Arithmetic cohomology |
| Miscellaneous information | 5 -- |
| -- | 1.6 |
| Title | Bloch-Ogus cohomology |
| Miscellaneous information | 6 -- |
| -- | 1.7 |
| Title | Frobenius on rigid cohomology |
| Miscellaneous information | 7 -- |
| -- | 1.8 |
| Title | Slopes of Frobenius |
| Miscellaneous information | 8 -- |
| -- | 1.9 |
| Title | The coefficients question |
| Miscellaneous information | 9 -- |
| -- | 1.10 |
| Title | F-isocrystals |
| Miscellaneous information | 9 -- |
| -- | 2 |
| Title | Tubes |
| Miscellaneous information | 12 -- |
| -- | 2.1 |
| Title | Some rigid geometry |
| Miscellaneous information | 12 -- |
| -- | 2.2 |
| Title | Tubes of radius one |
| Miscellaneous information | 16 -- |
| -- | 2.3 |
| Title | Tubes of smaller radius |
| Miscellaneous information | 23 -- |
| -- | 3 |
| Title | Strict neighborhoods |
| Miscellaneous information | 35 -- |
| -- | 3.1 |
| Title | Frames |
| Miscellaneous information | 35 -- |
| -- | 3.2 |
| Title | Frames and tubes |
| Miscellaneous information | 43 -- |
| -- | 3.3 |
| Title | Strict neighborhoods and tubes |
| Miscellaneous information | 54 -- |
| -- | 3.4 |
| Title | Standard neighborhoods |
| Miscellaneous information | 65 -- |
| -- | 4 |
| Title | Calculus |
| Miscellaneous information | 74 -- |
| -- | 4.1 |
| Title | Calculus in rigid analytic geometry |
| Miscellaneous information | 74 -- |
| -- | 4.3 |
| Title | Calculus on strict neighborhoods |
| Miscellaneous information | 97 -- |
| -- | 4.4 |
| Title | Radius of convergence |
| Miscellaneous information | 107 -- |
| -- | 5 |
| Title | Overconvergent sheaves |
| Miscellaneous information | 125 -- |
| -- | 5.1 |
| Title | Overconvergent sections |
| Miscellaneous information | 125 -- |
| -- | 5.2 |
| Title | Overconvergence and abelian sheaves |
| Miscellaneous information | 137 -- |
| -- | 5.3 |
| Title | Dagger modules |
| Miscellaneous information | 153 -- |
| -- | 5.4 |
| Title | Coherent dagger modules |
| Miscellaneous information | 160 -- |
| -- | 6 |
| Title | Overconvergent calculus |
| Miscellaneous information | 177 -- |
| -- | 6.1 |
| Title | Stratifications and overconvergence |
| Miscellaneous information | 177 -- |
| -- | 6.2 |
| Title | Cohomology |
| Miscellaneous information | 184 -- |
| -- | 6.3 |
| Title | Cohomology with support in a closed subset |
| Miscellaneous information | 192 -- |
| -- | 6.4 |
| Title | Cohomology with compact support |
| Miscellaneous information | 198 -- |
| -- | 6.5 |
| Title | Comparison theorems |
| Miscellaneous information | 211 -- |
| -- | 7 |
| Title | Overconvergent isocrystals |
| Miscellaneous information | 230 -- |
| -- | 7.1 |
| Title | Overconvergent isocrystals on a frame |
| Miscellaneous information | 230 -- |
| -- | 7.2 |
| Title | Overconvergence and calculus |
| Miscellaneous information | 236 -- |
| -- | 7.3 |
| Title | Virtual frames |
| Miscellaneous information | 245 -- |
| -- | 7.4 |
| Title | Cohomology of virtual frames |
| Miscellaneous information | 251 -- |
| -- | 8 |
| Title | Rigid cohomology |
| Miscellaneous information | 264 -- |
| -- | 8.1 |
| Title | Overconvergent isocrystal on an algebraic variety |
| Miscellaneous information | 264 -- |
| -- | 8.2 |
| Title | Cohomology |
| Miscellaneous information | 271 -- |
| -- | 8.3 |
| Title | Frobenius action |
| Miscellaneous information | 286 -- |
| -- | 9.1 |
| Title | A brief history |
| Miscellaneous information | 299 -- |
| -- | 9.2 |
| Title | Crystalline cohomology |
| Miscellaneous information | 300 -- |
| -- | 9.3 |
| Title | Alterations and applications |
| Miscellaneous information | 302 -- |
| -- | 9.4 |
| Title | The Crew conjecture |
| Miscellaneous information | 303 -- |
| -- | 9.5 |
| Title | Kedlaya's methods |
| Miscellaneous information | 304 -- |
| -- | 9.6 |
| Title | Arithmetic D-modules |
| Miscellaneous information | 306 -- |
| -- | 9.7 |
| Title | Log poles |
| Miscellaneous information | 307. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Dating back to work of Berthelot, rigid cohomology appeared as a common generalization of Monsky-Washnitzer cohomology and crystalline cohomology. It is a p-adic Weil cohomology suitable for computing Zeta and L-functions for algebraic varieties on finite fields. Moreover, it is effective, in the sense that it gives algorithms to compute the number of rational points of such varieties. This is the first book to give a complete treatment of the theory, from full discussion of all the basics to descriptions of the very latest developments. Results and proofs are included that are not available elsewhere, local computations are explained, and many worked examples are given. This accessible tract will be of interest to researchers working in arithmetic geometry, p-adic cohomology theory, and related cryptographic areas. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Homology theory. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Print version: |
| International Standard Book Number | 9780521875240 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Cambridge tracts in mathematics ; |
| Volume number/sequential designation | 172. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://doi.org/10.1017/CBO9780511543128">https://doi.org/10.1017/CBO9780511543128</a> |
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