Kodaira dimension of algebraic fiber spaces over abelian varieties

By Junyan Cao, Mihai Paun. Inventiones Mathematicae, 2015

71 citations recorded by the source corpus.

In this article we provide a proof of the Iitaka Cnm\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C_{nm}$$\end{document} conjecture for algebraic fiber spaces over tori.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/eb43ef29eefdb861d511a525e4b0dc7b753215fb

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In Geometry and Topology

1. Mihnea Cristian Popa
2. C. Schnell
3. A. Höring
4. Junyan Cao
5. Christopher D. Hacon
6. C. Birkar
7. M. Mustaţă
8. Chi Li

In Mathematical Physics

1. A. Höring
2. Mihnea Cristian Popa
3. C. Schnell
4. Junyan Cao
5. Christopher D. Hacon
6. C. Birkar
7. M. Mustaţă
8. J. McKernan

Citations in the corpus

• Algebraic fiber spaces over abelian varieties: around a recent theorem by Cao and Paun (2016, methodology): “We thank Mihai Păun for encouraging us to write this paper, and for many useful discussions and advice about its contents.”
• A decomposition theorem for projective manifolds with nef anticanonical bundle (2017, methodology): “The theorem is thus proved by using Proposition 2.4, As a consequence of Theorem 2.6 and an easy trick [CP17, Lemma 5.25], we have the following variant.”