@article{2453eba8a3764c809e0abea56144ba6c,
title = "A Fulton–Hansen theorem for almost homogeneous spaces",
abstract = "We prove a generalization of the Fulton–Hansen connectedness theorem, where Pn is replaced by a normal variety on which an algebraic group acts with a dense orbit.",
author = "J{\'a}nos Koll{\'a}r and Aaron Landesman",
note = "Funding Information: We thank Brian Conrad and Zhiwei Yun for explaining the proof of Proposition , Robert Lazarsfeld for pointing out Corollary , Laurent Manivel, Anand Patel, and Arpon Raksit for helpful conversations, and Akihiko Yukie for long comments and references on prehomogeneous vector spaces. We also thank Fran{\c c}ois Charles, Dougal Davis, Laurent Moret–Bailly, Wenhao Ou, Eric Riedl, Zev Rosengarten, Jason Starr, Ashvin Swaminathan, and Ravi Vakil for helpful correspondence on an earlier version of this article. JK was supported by the NSF under grant number DMS-1901855 and AL by the National Science Foundation Graduate Research Fellowship Program under Grant No. DGE-1656518 as well as through the program “Oberwolfach Research Fellows” by the Mathematisches Forschungsinstitut Oberwolfach in 2021. Publisher Copyright: {\textcopyright} 2021, The Author(s).",
year = "2021",
doi = "10.1007/s40574-021-00302-8",
language = "English (US)",
journal = "Bolletino dell Unione Matematica Italiana",
issn = "1972-6724",
publisher = "Unione Matematica Italiana",
}