Geography of Gorenstein stable log surfaces
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- by Wenfei Liu and Sönke Rollenske PDF
- Trans. Amer. Math. Soc. 368 (2016), 2563-2588 Request permission
Abstract:
We study the geography of Gorenstein stable log surfaces and prove two inequalities for their invariants: the stable Noether inequality and the $P_2$-inequality.
By constructing examples we show that all invariants are realised except possibly some cases where the inequalities become equalities.
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Additional Information
- Wenfei Liu
- Affiliation: Institut für algebraische Geometrie, Gottfried Wilhelm Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, Germany
- Address at time of publication: School of Mathematical Sciences and BICMR, Peking University, Yiheyuan Road 5, Haidian District, Beijing 100871, People’s Republic of China
- Email: wliu@math.uni-hannover.de, wliu@math.pku.edu.cn
- Sönke Rollenske
- Affiliation: Fakultät für Mathematik, Universtät Bielefeld, Universitätsstrasse 25, 33615 Bielefeld, Germany
- Address at time of publication: FB 12 / Mathematik und Informatik, Philipps-Universität Marburg, Hans-Meerwein-Strasse 6/ Campus Lahnberge, 35032 Marburg, Germany
- Email: rollenske@math.uni-bielefeld.de, rollenske@mathematik.uni-marburg.de
- Received by editor(s): August 20, 2013
- Received by editor(s) in revised form: January 23, 2014
- Published electronically: July 10, 2015
- Additional Notes: The first author was supported by the Bielefelder Nachwuchsfonds
Both authors were supported by DFG via the second author’s Emmy-Noether project and partially via SFB 701 - © Copyright 2015 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 368 (2016), 2563-2588
- MSC (2010): Primary 14J10, 14J29
- DOI: https://doi.org/10.1090/tran/6404
- MathSciNet review: 3449249