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Models of torsors and the fundamental group scheme
(2018)
Given a relative faithfully
at pointed scheme over the spectrum
of a discrete valuation ring X !S, this paper is motivated by the study of
the natural morphism from the fundamental group scheme of the generic ber
X ...
Erratum for “Heights of vector bundles and the fundamental group scheme of a curve”
(2020-10-08)
Corrección de datos publicados en “Heights of vector bundles and the fundamental group scheme of a curve”
Nori fundamental gerbe of essentially finite covers and Galois closure of towers of torsors
(2019)
We prove the existence of a Galois closure for towers of torsors under finite group schemes over a proper, geometrically connected and geometrically reduced algebraic stack X over a field k. This is done by describing the ...
Sur l’existence du schéma en groupes fondamental
(2020-06-06)
Soient S un schéma de Dedekind, X un S-schéma connexe localement de type ni et
x 2 X(S) une section. L’objet du présent papier est d’établir l’existence du schéma en groupes
fondamental de X lorsque X est à bres réduites ...