@article{073e230ae9b840f4a55d88148ba7d3ca,
title = "Characterization of projective spaces by Seshadri constants",
abstract = "We prove that an n-dimensional complex projective variety is isomorphic to Pn if the Seshadri constant of the anti-canonical divisor at some smooth point is greater than n. We also classify complex projective varieties with Seshadri constants equal to n.",
keywords = "Classification, Fano varieties, Projective space, Seshadri constants",
author = "Yuchen Liu and Ziquan Zhuang",
note = "Funding Information: Acknowledgements We would like to thank our advisor J{\'a}nos Koll{\'a}r for his constant support, encouragement and numerous inspiring conversations. We would like to thank Thomas Bauer, Pedro Montero, Tomasz Szemberg and Chenyang Xu for helpful comments. The first author also wishes to thank Xiaowei Wang for useful discussions, and Kento Fujita for his interest and encouragement. The first author is partially supported by NSF grants DMS-0968337 and DMS-1362960. Publisher Copyright: {\textcopyright} 2017, The Author(s).",
year = "2018",
month = jun,
day = "1",
doi = "10.1007/s00209-017-1941-9",
language = "English (US)",
volume = "289",
pages = "25--38",
journal = "Mathematische Zeitschrift",
issn = "0025-5874",
publisher = "Springer New York",
number = "1-2",
}