Zobrazeno 1 - 10
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pro vyhledávání: '"Hai, Ph��ng H��"'
Publikováno v:
Tohoku Mathematical Journal. 73
In \cite{armstrong}, M. Armstrong proved a beautiful result describing fundamental groups of quotient spaces. In this paper we prove an analogue of Armstrong's theorem in the setting of $F$-divided \cite{dS07} and essentially finite \cite{Nori76} fun
Deligne's celebrated "Riemann--Hilbert correspondence" relates representations of the fundamental group of a smooth complex algebraic variety and regular-singular integrable connections. In this work, we show how to arrive at a similar statement in t
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In the 1st part of this work [DHdS18], we studied affine group schemes over a discrete valuation ring (DVR) by means of Neron blowups. We also showed how to apply these findings to throw light on the group schemes coming from Tannakian categories of
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We follow the pattern in a recent paper of Otabe [Ota15] to define an action of the ��tale fundamental group scheme $��^\text{et}(X)$ on the local component of the essentially finite fundamental group scheme $��^{\mathrm{EF}}(X)$ of Nori.
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Autor:
Hai, Ph��ng H��
In this short work we give a very short and elementary proof of the injectivity lemma, which plays an important role in the Tannakian duality for Hopf algebras over a field. Based on this we provide some generalizations of this fact to the case of fl
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Autor:
Duong, Nguyen Dai, Hai, Ph��ng H��
We establish a duality between flat affine group schemes and rigid tensor categories equipped with a neutral fiber functor (called Tannakian lattice), both defined over a Dedekind ring. We use this duality and the known Tannakian duality due to Saave
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Autor:
Hai, Ph��ng H��
We defined the Gau��-Manin stratification of a stratified bundle with respect to a smooth morphism and use it to study the homotopy sequence of stratified fundamental group schemes.
14 pages, the proof of Prop. 2.8 is corrected. To appear in
14 pages, the proof of Prop. 2.8 is corrected. To appear in
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Unlike Grothendieck's ��tale fundamental group, Nori's fundamental group does not fulfill the homotopy exact sequence in general. We give necessary and sufficient conditions which force exactness of the sequence.
Lei Zhang found a gap in the
Lei Zhang found a gap in the
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Autor:
Esnault, H��l��ne, Hai, Ph��ng H��
For $X$ a complete, reduced, geometrically connected scheme over a perfect field of characteristic $p>0$, we analyze the decomposition of Nori's fundamental group scheme into its local and ��tale parts and raise the question of the relation betwe
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Autor:
Esnault, H��l��ne, Hai, Ph��ng H��
Using the identification of sections of the Galois group of the ground field into the arithmetic fundamental group with neutral fiber functors of the category of finite connections, we define the "packets" in Grothendieck's section conjecture and sho
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