Geodesic
Semistable sheaves in positive characteristic
Adrian Langer1
1 Institute of Mathematics, Warsaw University, 02-097 Warszawa, Poland
Annals of mathematics, Tome 159 (2004) no. 1, pp. 251-276.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We prove Maruyama’s conjecture on the boundedness of slope semistable sheaves on a projective variety defined over a noetherian ring. Our approach also gives a new proof of the boundedness for varieties defined over a characteristic zero field. This result implies that in mixed characteristic the moduli spaces of Gieseker semistable sheaves are projective schemes of finite type. The proof uses a new inequality bounding slopes of the restriction of a sheaf to a hypersurface in terms of its slope and the discriminant. This inequality also leads to effective restriction theorems in all characteristics, improving earlier results in characteristic zero.
DOI : 10.4007/annals.2004.159.251

Adrian Langer 1

1 Institute of Mathematics, Warsaw University, 02-097 Warszawa, Poland 
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Adrian Langer. Semistable sheaves in positive characteristic. Annals of mathematics, Tome 159 (2004) no. 1, pp. 251-276. doi : 10.4007/annals.2004.159.251. http://geodesic.mathdoc.fr/articles/10.4007/annals.2004.159.251/

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