Using notions of homogeneity we give new proofs of M. Artin's algebraicity criteria for functors and groupoids. Our methods give a more general result, unifying Artin's two theorems and clarifying their differences.Goran Gustafsson foundation; Australian Research Council [DE150101799]; Swedish Research Council [2011-5599, 2015-05554]This item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu
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Since Hooley's seminal 1967 resolution of Artin's primitive root conjecture under the Generalized Ri...
We generalize the notion of the auto-Igusa zeta function to formal deformations of algebraic spaces....
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I aim to explain parts of my papers [4, 5] on ‘stack functions’, which are central to the sequels [6...
We describe the structure and homological properties of arbitrary generalized standard Auslander-Rei...
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AbstractWe prove that every separated Artin stack of finite type over a noetherian base scheme admit...
Since Hooley's seminal 1967 resolution of Artin's primitive root conjecture under the Generalized Ri...
We generalize the notion of the auto-Igusa zeta function to formal deformations of algebraic spaces....
We construct an algebraic homology functor for Artin stacks of finite type over a field, and we deve...
In this note we revisit Lurie's representability theorem for geometric stacks and prove that one of ...
This paper continues the study of abstract moduli problems begun in our previous paper Algebraizatio...
We study several different notions of algebraicity in use in stable homotopy theory and prove implic...
We extend Greenberg’s original construction to arbitrary schemes over (certain types of) local artin...
AbstractIn this paper we define and study obstruction theories for morphisms of functors of Artin ri...
I aim to explain parts of my papers [4, 5] on ‘stack functions’, which are central to the sequels [6...
We describe the structure and homological properties of arbitrary generalized standard Auslander-Rei...
The aim of this work is to study the global structure of the category F of functors between F_2-vect...
The notion of stack grew out of attempts to parameterize geometric objects varying in families. Such...
We generalize the notion of semi-universality in the classical deformation problems to the context o...
In developing homotopy theory in algebraic geometry, Michael Artin and Barry Mazur studied the \'eta...
AbstractWe prove that every separated Artin stack of finite type over a noetherian base scheme admit...
Since Hooley's seminal 1967 resolution of Artin's primitive root conjecture under the Generalized Ri...
We generalize the notion of the auto-Igusa zeta function to formal deformations of algebraic spaces....