Nef anti-canonical divisors and rationally connected fibrations
Keyword(s):
We study the Iitaka–Kodaira dimension of nef relative anti-canonical divisors. As a consequence, we prove that given a complex projective variety with klt singularities, if the anti-canonical divisor is nef, then the dimension of a general fibre of the maximal rationally connected fibration is at least the Iitaka–Kodaira dimension of the anti-canonical divisor.
2019 ◽
Vol 19
(6)
◽
pp. 2087-2125
◽
2001 ◽
Vol 73
(4)
◽
pp. 475-482
◽
2005 ◽
Vol 48
(3)
◽
pp. 414-427
◽
2013 ◽
Vol 150
(3)
◽
pp. 369-395
◽
1999 ◽
Vol 42
(2)
◽
pp. 209-213
◽
Keyword(s):
2018 ◽
Vol 154
(7)
◽
pp. 1534-1570
◽
2013 ◽
Vol 24
(02)
◽
pp. 1350007
◽
2011 ◽
Vol 22
(06)
◽
pp. 863-885
◽
2019 ◽
Vol 22
(08)
◽
pp. 1950079
◽