@article{de019c4b4ab443c589f4905547e455ed,
title = "Coherent tannaka duality and algebraicity of hom-stacks",
abstract = "We establish Tannaka duality for noetherian algebraic stacks with affine stabilizer groups. Our main application is the existence of Hom-stacks in great generality.",
keywords = "Algebraic stacks, Formal gluings, Hom-stacks, Mayer-vietoris squares, Tannaka duality",
author = "Jack Hall and David Rydh",
note = "Funding Information: The first author was supported by the Australian Research Council DE150101799 while some of this work was completed. This collaboration was supported by the G{\"o}ran Gustafsson foundation. The second author is also supported by the Swedish Research Council 2011-5599 and 2015-05554. MSC2010: primary 14A20; secondary 14D23, 18D10. Keywords: Tannaka duality, algebraic stacks, Hom-stacks, Mayer–Vietoris squares, formal gluings. Funding Information: The first author was supported by the Australian Research Council DE150101799 while some of this work was completed. This collaboration was supported by the G?ran Gustafsson foundation. The second author is also supported by the Swedish Research Council 2011-5599 and 2015-05554. Publisher Copyright: {\textcopyright} 2019, Mathematical Sciences Publishers. All rights reserved.",
year = "2019",
doi = "10.2140/ant.2019.13.1633",
language = "English (US)",
volume = "13",
pages = "1633--1675",
journal = "Algebra and Number Theory",
issn = "1937-0652",
publisher = "Mathematical Sciences Publishers",
number = "7",
}