Weak completions, bornologies and rigid cohomology
Let V be a complete discrete valuation ring with residue field k of positive characteristic and with fraction field K of characteristic 0. We clarify the analysis behind the Monsky–Washnitzer completion of a commutative V-algebra using completions of bornological V-algebras. This leads us to a funct...
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| Lenguaje: | Inglés |
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Elsevier B.V.
2018
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
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| LEADER | 04731caa a22005537a 4500 | ||
|---|---|---|---|
| 001 | PAPER-16873 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518204756.0 | ||
| 008 | 190410s2018 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-85044612809 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 030 | |a JGPHE | ||
| 100 | 1 | |a Cortiñas, G. | |
| 245 | 1 | 0 | |a Weak completions, bornologies and rigid cohomology |
| 260 | |b Elsevier B.V. |c 2018 | ||
| 270 | 1 | 0 | |m Cuntz, J.; Mathematisches Institut, Westfälische Wilhelms-Universität Münster, Einsteinstr. 62, Germany; email: cuntz@math.uni-muenster.de |
| 506 | |2 openaire |e Política editorial | ||
| 504 | |a Monsky, P., Washnitzer, G., Formal cohomology. I (1968) Ann. of Math. (2), 88, pp. 181-217 | ||
| 504 | |a Elkik, R., Solutions d’équations à coefficients dans un anneau hensélien (1973) Ann. Sci. Éc. Norm. Supér. (4), 6, pp. 553-603. , (in French) | ||
| 504 | |a Berthelot, P., Cohomologie rigide et cohomologie rigide à supports propres. Première partie, preprint; Besser, A., Syntomic regulators and p-adic integration. I. Rigid syntomic regulators (2000) Proceedings of the Conference on P-Adic Aspects of the Theory of Automorphic Representations (Jerusalem, 1998), pp. 291-334 | ||
| 504 | |a (2017), arXiv:1708.00357 Guillermo Cortiñas, Joachim Cuntz, Ralf Meyer, Georg Tamme, Nonarchimedean bornologies, cyclic homology and rigid cohomology; Große Klönne, E., De Rham cohomology of rigid spaces (2004) Math. Z., 247 (2), pp. 223-240 | ||
| 504 | |a Fulton, W., A note on weakly complete algebras (1969) Bull. Amer. Math. Soc., 75, pp. 591-593 | ||
| 504 | |a Berthelot, P., Finitude et pureté cohomologique en cohomologie rigide (1997) Invent. Math., 128 (2), pp. 329-377. , (in French). With an appendix in English by Aise Johan de Jong | ||
| 504 | |a Große-Klönne, E., Rigid analytic spaces with overconvergent structure sheaf (2000) J. Reine Angew. Math., 519, pp. 73-95 | ||
| 520 | 3 | |a Let V be a complete discrete valuation ring with residue field k of positive characteristic and with fraction field K of characteristic 0. We clarify the analysis behind the Monsky–Washnitzer completion of a commutative V-algebra using completions of bornological V-algebras. This leads us to a functorial chain complex for a finitely generated commutative algebra over the residue field k that computes its rigid cohomology in the sense of Berthelot. © 2018 Elsevier B.V. |l eng | |
| 536 | |a Detalles de la financiación: Deutsche Forschungsgemeinschaft, CRC 878 | ||
| 536 | |a Detalles de la financiación: European Research Council, CRC 1085, AdG 267 079 | ||
| 536 | |a Detalles de la financiación: Consejo Nacional de Investigaciones Científicas y Técnicas, MTM2015-65764-C3-1-P, UBACyT 20021030100481BA, PICT 2013-0454 | ||
| 536 | |a Detalles de la financiación: The first named author was supported by Conicet and partially supported by grants UBACyT 20021030100481BA , PICT 2013-0454 , and MTM2015-65764-C3-1-P ( Feder funds ). The second named author was supported by DFG through CRC 878 and by the ERC through AdG 267 079 . The fourth named author was supported by DFG through CRC 1085 . | ||
| 593 | |a Dep. Matemática-IMAS, FCEyN-UBA, Ciudad Universitaria Pab 1, 1428 Buenos Aires, Argentina | ||
| 593 | |a Mathematisches Institut, Westfälische Wilhelms-Universität Münster, Einsteinstr. 62, Münster, 48149, Germany | ||
| 593 | |a Mathematisches Institut, Georg-August Universität Göttingen, Bunsenstraße 3–5, Göttingen, 37073, Germany | ||
| 593 | |a Universität Regensburg, Fakultät für Mathematik, Regensburg, 93040, Germany | ||
| 690 | 1 | 0 | |a ALGEBRAIC GEOMETRY |
| 690 | 1 | 0 | |a BORNOLOGICAL ALGEBRAS |
| 690 | 1 | 0 | |a CYCLIC HOMOLOGY |
| 690 | 1 | 0 | |a OVERCONVERGENT COMPLETIONS |
| 690 | 1 | 0 | |a POSITIVE CHARACTERISTIC |
| 690 | 1 | 0 | |a RIGID COHOMOLOGY |
| 700 | 1 | |a Cuntz, J. | |
| 700 | 1 | |a Meyer, R. | |
| 700 | 1 | |a Tamme, G. | |
| 773 | 0 | |d Elsevier B.V., 2018 |g v. 129 |h pp. 192-199 |p J. Geom. Phys. |x 03930440 |w (AR-BaUEN)CENRE-5598 |t Journal of Geometry and Physics | |
| 856 | 4 | 1 | |u https://www.scopus.com/inward/record.uri?eid=2-s2.0-85044612809&doi=10.1016%2fj.geomphys.2018.03.005&partnerID=40&md5=73cc7f49a0f84f38a396dcf8d2d7dbb5 |y Registro en Scopus |
| 856 | 4 | 0 | |u https://doi.org/10.1016/j.geomphys.2018.03.005 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_03930440_v129_n_p192_Cortinas |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03930440_v129_n_p192_Cortinas |y Registro en la Biblioteca Digital |
| 961 | |a paper_03930440_v129_n_p192_Cortinas |b paper |c PE | ||
| 962 | |a info:eu-repo/semantics/article |a info:ar-repo/semantics/artículo |b info:eu-repo/semantics/publishedVersion | ||