Annales de l’institut Fourier (AIF)

Zhao, Bin

Local Indecomposability of Hilbert Modular Galois Representations

Fima, Pierre

Amenable, transitive and faithful actions of groups acting on trees

Bary-Soroker, Lior

Fehm, Arno

Petersen, Sebastian

On varieties of Hilbert type

Saleur, Benoît

Un théorème de Bloch presque complexe

Töben, Dirk

Localization of basic characteristic classes

Abramovich, Dan

Olsson, Martin

Vistoli, Angelo

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L’INSTITUT FOURIER
Dan ABRAMOVICH, Martin OLSSON & Angelo VISTOLI
Corrigendum to: "Tame stacks in positive characteristic"
Tome 64, no 3 (2014), p. 945-946.
<http://aif.cedram.org/item?id=AIF_2014__64_3_945_0>
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Ann. Inst. Fourier, Grenoble
64, 3 (2014) 945-946
CORRIGENDUM TO :
"TAME STACKS IN POSITIVE CHARACTERISTIC"
Annales de l’Institut Fourier, vol. 58 (2008), no 4, 1057–1091.
par Dan ABRAMOVICH, Martin OLSSON & Angelo VISTOLI
Fabio Tonini and Sophie Marques noted that the proof using Lie alge-
bras in [1, Lemma 2.14 and Proposition 3.6] does not hold for local group
schemes. The alternative proof we provided there using cotangent com-
plexes does hold, and shows that the cotangent complex has an extra term.
This term does not intervene in obstructions for torsors, but does intervene
when calculating deformations, in particular torsors under a non-reduced
linearly reductive group do have nontrivial deformations.
It is therefore necessary to discard the second proof of [1, Lemma 2.14] on
page 1072 between the text “Method 2 : lifting using Lie algebras"
and the end of the proof at the top of page 1073. In addition, in the course
of the proof of [1, Proposition 3.6] on page 1080, the paragraph starting
“The obstruction to extending" should read as follows :
The obstruction to extending a G-torsor Pn−1 → Mn−1 to
a G-torsor Pn → Mn lies in
Ext1(Lg∗LBkGp , In/In+1) = 0,
where g : M0 → BM G is the morphism defined by P0.
Mots-clés : champs algébriques, espaces des modules, schémas en groupes.
Classification math. : 14A20, 14L15.
946 Dan ABRAMOVICH, Martin OLSSON & Angelo VISTOLI
BIBLIOGRAPHIE
[1] D. Abramovich, M. Olsson & A. Vistoli, « Tame stacks in positive characteris-
tic », Ann. Inst. Fourier (Grenoble) 58 (2008), no 4, p. 1057-1091.
Dan ABRAMOVICH
Department of Mathematics
Brown University
Box 1917
Providence, RI 02912
U.S.A.
abrmovic@math.brown.edu
Martin OLSSON
Department of Mathematics #3840
University of California
Berkeley, CA 94720-3840
U.S.A.
molsson@math.berkeley.edu
Angelo VISTOLI
Scuola Normale Superiore
Piazza dei Cavalieri 7
56126 Pisa
Italy
angelo.vistoli@sns.it
ANNALES DE L’INSTITUT FOURIER


Corrigendum to : « Tame stacks in positive characteristic »

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Local Indecomposability of Hilbert Modular Galois Representations

Amenable, transitive and faithful actions of groups acting on trees

On varieties of Hilbert type

Un théorème de Bloch presque complexe

Localization of basic characteristic classes

Corrigendum to : « Tame stacks in positive characteristic »

An alternative description of the Drinfeld $p$ -adic half-plane

Eigenmodes of the damped wave equation and small hyperbolic subsets

Seshadri constants and interpolation on commutative algebraic groups

Foliations by curves with curves as singularities

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