Vol. 13, No. 7, 2019

 Recent Issues
 The Journal About the Journal Editorial Board Editors’ Interests Subscriptions Submission Guidelines Submission Form Policies for Authors Ethics Statement ISSN: 1944-7833 (e-only) ISSN: 1937-0652 (print) Author Index To Appear Other MSP Journals
Coherent Tannaka duality and algebraicity of Hom-stacks

Jack Hall and David Rydh

Vol. 13 (2019), No. 7, 1633–1675
DOI: 10.2140/ant.2019.13.1633
Abstract

We establish Tannaka duality for noetherian algebraic stacks with affine stabilizer groups. Our main application is the existence of $\underset{¯}{Hom}$-stacks in great generality.

Keywords
Tannaka duality, algebraic stacks, Hom-stacks, Mayer–Vietoris squares, formal gluings
Mathematical Subject Classification 2010
Primary: 14A20
Secondary: 14D23, 18D10