TY - JOUR
T1 - Strong rational connectedness of surfaces
AU - Xu, Chenyang
N1 - Funding Information:
Acknowledgment. The author would like to thank Igor Dolgachev, Brendan Has-sett, Amit Hogadi, Amanda Knecht, János Kollár and Jason Starr for useful conversations and emails. He especially wants to thank Dan Abramovich for suggesting a crucial idea to prove Theorem 1.4. Thanks to Garving Luli for his help on English and to the referee for enormous helpful suggestions on the exposition; any remaining mistakes are my own. The author was partially supported by Clay lifto¤ fellowship. Part of the work was done when the author visited Universität Duisburg–Essen. The author wishes to thank Hélène Esnault for her hospitality during the visit. This material is also based upon work when the author was in Institute for Advanced Study and supported by the NSF under agreement No. DMS-0635607. The author was partially supported by NSF research grant No. 0969495.
PY - 2012/4
Y1 - 2012/4
N2 - This paper focuses on the study of the strong rational connectedness of smooth rationally connected surfaces. In particular, we show that the smooth locus of a log del Pezzo surface is strongly rationally connected. This confirms a conjecture due to Hassett and Tschinkel in [8].
AB - This paper focuses on the study of the strong rational connectedness of smooth rationally connected surfaces. In particular, we show that the smooth locus of a log del Pezzo surface is strongly rationally connected. This confirms a conjecture due to Hassett and Tschinkel in [8].
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U2 - 10.1515/CRELLE.2011.108
DO - 10.1515/CRELLE.2011.108
M3 - Article
AN - SCOPUS:84859820532
SN - 0075-4102
SP - 189
EP - 205
JO - Journal fur die Reine und Angewandte Mathematik
JF - Journal fur die Reine und Angewandte Mathematik
IS - 665
ER -