Mathematical Research Letters

Volume 23 (2016)

Number 5

Log rationally connected surfaces

Pages: 1527 – 1536



Yi Zhu (Department of Mathematics, University of Utah, Salt Lake City, Ut., U.S.A.)


In this paper, combining the works of Miyanishi-Tsunoda [MT84a, MT84b] and Keel-McKernan [KM99], we prove the log Castelnuovo’s rationality criterion for smooth quasi-projective surfaces over complex numbers.

Accepted 23 March 2015

Published 12 January 2017