p-Adic Hodge theory for Artin stacks (Record no. 62214)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01757 a2200265 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 250607b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470471361 |
| 022 ## - INTERNATIONAL STANDARD SERIAL NUMBER | |
| International Standard Serial Number | 0065-9266 (Print) |
| 022 ## - INTERNATIONAL STANDARD SERIAL NUMBER | |
| International Standard Serial Number | 1947-6221 (Online) |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.74 KUB |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Kubrak, Dmitry |
| 245 ## - TITLE STATEMENT | |
| Title | p-Adic Hodge theory for Artin stacks |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | Providence, Rhode Island: |
| Name of publisher, distributor, etc | American Mathematical Society (AMS), |
| Date of publication, distribution, etc | 2024 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 174 p.: |
| Other physical details | pbk.: |
| Dimensions | 27 cm. |
| 490 ## - SERIES STATEMENT | |
| Series statement | Memoirs of the American Mathematical Society; |
| Volume number/sequential designation | Vol. 304; No. 1528 |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This work is devoted to the study of integral p-adic Hodge theory in the context of Artin stacks. For a Hodge-proper stack, using the formalism of prismatic cohomology, we establish a version of p-adic Hodge theory with the étale cohomology of the Raynaud generic fiber as an input. In particular, we show that the corresponding Galois representation is crystalline and that the associated Breuil-Kisin module is given by the prismatic cohomology. An interesting new feature of the stacky setting is that the natural map between étale cohomology of the algebraic and the Raynaud generic fibers is often an equivalence even outside of the proper case. In particular, we show that this holds for global quotients [X/G] where X is a smooth proper scheme and G is a reductive group. As applications we deduce Totaro’s conjectural inequality and also set up a theory of Ainf-characteristic classes.<br/><br/>https://bookstore.ams.org/view?ProductCode=MEMO/304/1528 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Algebra |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Number Theory |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Algebraic Number Theory |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Artin Stacks |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Hodge-Proper Stacks |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Prikhodko, Artem |
| Relator term | Co-author |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Item type | Books |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Collection code | Home library | Current library | Date acquired | Source of acquisition | Cost, normal purchase price | Total Checkouts | Full call number | Barcode | Date last seen | Date last borrowed | Copy number | Cost, replacement price | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | General | IIT Gandhinagar | IIT Gandhinagar | 06/06/2025 | CBS Publishers | 7264.95 | 4 | 512.74 KUB | 035844 | 05/10/2025 | 11/09/2025 | 1 | 7264.95 | Books |
