Sign up ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

Let $\pi:X \longrightarrow C$ be a smooth projective family of varieties over a curve $C$. Fix a point $0\in C$ and assume the fiber $X_{0}$ has nonnegative Kodaira dimension. Is it possible to prove that the generic fiber has nonnegative Kodaira dimension?(without using invariance of plurigenera)

share|cite|improve this question

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.