TY - JOUR
T1 - On relative rational chain connectedness of threefolds with anti-big canonical divisors in positive characteristics
AU - Wang, Yuan
N1 - Publisher Copyright:
© 2017 Mathematical Sciences Publishers.
PY - 2017
Y1 - 2017
N2 - Let X be a projective klt threefold over an algebraically closed field of positive characteristic, and f: X→Y a morphism from X to a projective variety Y of dimension 1 or 2. We study how bigness and relative bigness of -KX influences the rational chain connectedness of X and fibers of f, respectively. We construct a canonical bundle formula and use it as well as the minimal model program to prove two results in this context.
AB - Let X be a projective klt threefold over an algebraically closed field of positive characteristic, and f: X→Y a morphism from X to a projective variety Y of dimension 1 or 2. We study how bigness and relative bigness of -KX influences the rational chain connectedness of X and fibers of f, respectively. We construct a canonical bundle formula and use it as well as the minimal model program to prove two results in this context.
KW - Canonical bundle formula
KW - Minimal model program
KW - Positive characteristic
KW - Rational chain connectedness
KW - Weak positivity
UR - http://www.scopus.com/inward/record.url?scp=85025097246&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85025097246&partnerID=8YFLogxK
U2 - 10.2140/pjm.2017.290.231
DO - 10.2140/pjm.2017.290.231
M3 - Article
AN - SCOPUS:85025097246
SN - 0030-8730
VL - 290
SP - 231
EP - 245
JO - Pacific Journal of Mathematics
JF - Pacific Journal of Mathematics
IS - 1
ER -