TY - GEN
T1 - Potentially Stably Rational Del Pezzo Surfaces over Nonclosed Fields
AU - Tschinkel, Yuri
AU - Yang, Kaiqi
N1 - Funding Information:
We are grateful to J.-L. Colliot-Thélène for helpful comments and suggestions. The first author was partially supported by NSF grant 1601912.
Publisher Copyright:
© 2020, Springer Nature Switzerland AG.
PY - 2020
Y1 - 2020
N2 - A geometrically rational surface S over a nonclosed field k is k-birational to either a del Pezzo surface of degree or a conic bundle (see [6]). Throughout, we assume that. This implies k-rationality of S when or when the number of degenerate fibers of the conic bundle is at most 3.
AB - A geometrically rational surface S over a nonclosed field k is k-birational to either a del Pezzo surface of degree or a conic bundle (see [6]). Throughout, we assume that. This implies k-rationality of S when or when the number of degenerate fibers of the conic bundle is at most 3.
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U2 - 10.1007/978-3-030-31106-3_17
DO - 10.1007/978-3-030-31106-3_17
M3 - Conference contribution
AN - SCOPUS:85076976071
SN - 9783030311056
T3 - Springer Proceedings in Mathematics and Statistics
SP - 227
EP - 233
BT - Combinatorial and Additive Number Theory III - CANT, 2017 and 2018
A2 - Nathanson, Melvyn B.
PB - Springer
T2 - 16th Workshops on Combinatorial and Additive Number Theory, CANT 2018
Y2 - 22 May 2018 through 25 May 2018
ER -