## Title data

Kühn, Ulf ; Müller, Jan Steffen:

**Lower bounds on the arithmetic self-intersection number of the relative dualizing sheaf on arithmetic surfaces.**

*In:* Transactions of the American Mathematical Society.
Vol. 369
(2017)
Issue 3
.
- pp. 1869-1894.

ISSN 1088-6850

DOI: https://doi.org/10.1090/tran/6787

## Project information

Project title: |
Project's official title Project's id No information KU 2359/2-1 |
---|---|

Project financing: |
Deutsche Forschungsgemeinschaft |

## Abstract in another language

We give an explicitly computable lower bound for the arithmetic self-intersection number ω² of the dualizing sheaf on a large class of arithmetic surfaces. If some technical conditions are satisfied, then this lower bound is positive. In particular, these technical conditions are always satisfied for minimal arithmetic surfaces with simple multiplicities and at least one reducible fiber, but we also use our techniques to obtain lower bounds for some arithmetic surfaces with non-reduced fibers

## Further data

Item Type: | Article in a journal |
---|---|

Refereed: | Yes |

Subject classification: | MSC (2010): Primary 14G40; Secondary 11G50, 11G30, 14H25 |

Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II (Computer Algebra) Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics |

Result of work at the UBT: | Yes |

DDC Subjects: | 500 Science > 510 Mathematics |

Date Deposited: | 04 May 2017 09:50 |

Last Modified: | 11 Jul 2023 07:45 |

URI: | https://eref.uni-bayreuth.de/id/eprint/36942 |