TY - JOUR
T1 - On the abundance problem for 3-folds in characteristic p> 5
AU - Das, Omprokash
AU - Waldron, Joe
N1 - Funding Information:
The authors would like to thank Christopher Hacon, Sho Ejiri, Zsolt Patakfalvi and Karl Schwede for valuable conversations. We would also like to thank the organizers of the 2015 AMS Summer Institute in Algebraic Geometry at Utah, where this work began. Part of this work was done when the first named author was visiting the School of Mathematics, Tata Institute of Fundamental Research (TIFR), Mumbai, as a Visiting Fellow (August 2015–July 2016). He would like to thank the institute for their accommodation and hospitality.
Publisher Copyright:
© 2018, Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2019/8/1
Y1 - 2019/8/1
N2 - In this article we prove two cases of the abundance conjecture for 3-folds in characteristic p> 5 : (i) (X, Δ) is klt and κ(X, KX+ Δ) = 1 , and (ii) (X, Δ) is klt, KX+ Δ ≡ 0 and X is not uniruled.
AB - In this article we prove two cases of the abundance conjecture for 3-folds in characteristic p> 5 : (i) (X, Δ) is klt and κ(X, KX+ Δ) = 1 , and (ii) (X, Δ) is klt, KX+ Δ ≡ 0 and X is not uniruled.
UR - http://www.scopus.com/inward/record.url?scp=85051666472&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85051666472&partnerID=8YFLogxK
U2 - 10.1007/s00209-018-2110-5
DO - 10.1007/s00209-018-2110-5
M3 - Article
AN - SCOPUS:85051666472
SN - 0025-5874
VL - 292
SP - 937
EP - 946
JO - Mathematische Zeitschrift
JF - Mathematische Zeitschrift
IS - 3-4
ER -