## Abstract

We give a formula for the syntomic regulator on K_{2} of a proper curve X over a p-adic field K. This generalizes the results of [Bes00c] where the curve was assumed to have good reduction. The formula is essentially the same with Coleman integration replaced by by Vologodsky integration.

Original language | English |
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Title of host publication | Progress in Mathematics |

Publisher | Birkhauser |

Pages | 75-89 |

Number of pages | 15 |

DOIs | |

State | Published - 1 Jan 2021 |

### Publication series

Name | Progress in Mathematics |
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Volume | 338 |

ISSN (Print) | 0743-1643 |

ISSN (Electronic) | 2296-505X |

## Keywords

- algebraic Ktheory
- p-adic cohomology
- p-adic integration
- regulators
- syntomic cohomology

## ASJC Scopus subject areas

- Analysis
- Algebra and Number Theory
- Geometry and Topology

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