Title data
Kühn, Ulf ; Müller, Jan Steffen:
Lower bounds on the arithmetic selfintersection number of the relative dualizing sheaf on arithmetic surfaces.
In: Transactions of the American Mathematical Society.
Vol. 369
(March 2017)
Issue 3
.
 pp. 18691894.
ISSN 10886850
DOI: https://doi.org/10.1090/tran/6787
Project information
Project title: 



Project financing: 
Deutsche Forschungsgemeinschaft 
Abstract in another language
We give an explicitly computable lower bound for the arithmetic selfintersection 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 nonreduced 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 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:  04 May 2017 09:50 
URI:  https://eref.unibayreuth.de/id/eprint/36942 