Duke Mathematical Journal
- Duke Math. J.
- Volume 166, Number 5 (2017), 975-1004.
Chern slopes of surfaces of general type in positive characteristic
Let be an algebraically closed field of characteristic , and let be a nonsingular projective curve over . We prove that for any real number , there are minimal surfaces of general type over such that (a) , , (b) , and (c) is arbitrarily close to . In particular, we show the density of Chern slopes in the pathological Bogomolov–Miyaoka–Yau interval for any given . Moreover, we prove that for there exist surfaces as above with , that is, with Picard scheme equal to a reduced point. In this way, we show that even surfaces with reduced Picard scheme are densely persistent in for any given .
Duke Math. J., Volume 166, Number 5 (2017), 975-1004.
Received: 23 September 2015
Revised: 2 July 2016
First available in Project Euclid: 15 December 2016
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Urzúa, Giancarlo. Chern slopes of surfaces of general type in positive characteristic. Duke Math. J. 166 (2017), no. 5, 975--1004. doi:10.1215/00127094-3792596. https://projecteuclid.org/euclid.dmj/1481771254