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2017 A Note on Iitaka's Conjecture $C_{3,1}$ in Positive Characteristics
Lei Zhang
Taiwanese J. Math. 21(3): 689-704 (2017). DOI: 10.11650/tjm/7931

Abstract

Let $f \colon X \to Y$ be a fibration from a smooth projective $3$-fold to a smooth projective curve, over an algebraically closed field $k$ of characteristic $p \gt 5$. We prove that if the generic fiber $X_{\eta}$ has big canonical divisor $K_{X_{\eta}}$, then\[ \kappa(X) \geq \kappa(Y) + \kappa(X_{\eta}).\]

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Lei Zhang. "A Note on Iitaka's Conjecture $C_{3,1}$ in Positive Characteristics." Taiwanese J. Math. 21 (3) 689 - 704, 2017. https://doi.org/10.11650/tjm/7931

Information

Published: 2017
First available in Project Euclid: 1 July 2017

zbMATH: 06871339
MathSciNet: MR3661388
Digital Object Identifier: 10.11650/tjm/7931

Subjects:
Primary: 14E05, 14E30

Rights: Copyright © 2017 The Mathematical Society of the Republic of China

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Vol.21 • No. 3 • 2017
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