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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | Print version: Berkovich, Vladimir G. Integration of one-forms on p-adic analytic spaces. Princeton, N.J. : Princeton University Press, 2007 (DLC) 2006921278 (OCoLC)73955249 |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Vladimir G Berkovich |

ISBN: | 9781400837151 1400837154 |

OCLC Number: | 793400659 |

Language Note: | In English. |

Reproduction Notes: | Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL |

Description: | 1 online resource (vi, 156 pages). |

Details: | Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |

Contents: | Naive analytic functions and formulation of the main result -- Étale neighborhoods of a point in a smooth analytic space -- Properties of strictly poly-stable and marked formal schemes -- Properties of the sheaves -- Isocrystals -- F-isocrystals -- Construction of the Sheaves -- Properties of the sheaves -- Integration and parallel transport along a path. |

Series Title: | Annals of mathematics studies, no. 162. |

Responsibility: | Vladimir G. Berkovich. |

More information: |

### Abstract:

Aims to show that every smooth p-adic analytic space is provided with a sheaf of functions that includes all analytic ones and satisfies a uniqueness property. It also contains local primitives of all closed one-forms with coefficients in the sheaf that, in the case considered by Coleman, coincide with those he constructed.
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