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We introduce a new fundamental group scheme for varieties defined over an algebraically closed field of positive characteristic and we use it to study generalization of some of C.
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Semistable sheaves in positive characteristic
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There is no Bogomolov type restriction theorem for strong semistability in positive characteristic
H. Brenner · 2005
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Semistable principal G G -bundles in positive characteristic
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Comparison of fundamental group schemes of a projective variety and an ample hypersurface
I. Biswas and Y. Holla · 2007
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J.-P. Demailly, T. Peternell, and M. Schneider · 1994
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J. Kollár · 1996
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The geometry of moduli spaces of sheaves
D. Huybrechts and M. Lehn · 1997
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Vanishing theorems for ample vector bundles
L. Manivel · 1997
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Crystalline fundamental groups. I. Isocrystals on log crystalline site and log convergent site
A. Shiho · 2000
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On the fundamental group scheme
V. B. Mehta and S. Subramanian · 2002
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Fundamental group schemes for stratified sheaves
J. P. P. dos Santos · 2007
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A smooth counterexample to Nori’s conjecture on the fundamental group scheme
C. Pauly · 2007
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Holonomy groups of stable vector bundles
V. Balaji and J. Kollár · 2008
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On deep Frobenius descent and flat bundles
H. Brenner and A. Kaid · 2008
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Some remarks on the local fundamental group scheme and the big fundamental group scheme
V. B. Mehta · 2008
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An analogue of the Narasimhan-Seshadri theorem and some applications
V. Balaji and A. J. Parameswaran · 2009
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Moduli spaces of sheaves and principal G G -bundles
A. Langer · 2009
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