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.

UR - http://www.scopus.com/inward/record.url?scp=85076976071&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85076976071&partnerID=8YFLogxK

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 -