European Journal of Mathematics

, Volume 5, Issue 3, pp 872–880 | Cite as

Kollár’s injectivity theorem for globally F-regular varieties

  • Yoshinori GongyoEmail author
  • Shunsuke Takagi
Research Article


We prove Kollár’s injectivity theorem for globally F-regular varieties.


Injectivity theorem Vanishing theorem Globally F-regular varieties 

Mathematics Subject Classification

14F17 13A35 



The auhtors are grateful to Sho Ejiri, Nobuo Hara, Kenta Sato and Ken-ichi Yoshida for helpful comments. They are also indebted to the referee for thoughtful suggestions. The first author would like to thank the organizers of “Workshop in Algebraic Geometry” held in Hanga Roa, Chile during December 18–22, 2016.


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Graduate School of Mathematical SciencesThe University of TokyoTokyoJapan

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