Geodesic
Restriction theorems for semistable sheaves
Documenta mathematica, Tome 29 (2024) no. 3, pp. 597-625

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In this paper we prove restriction theorems for torsion-free sheaves that are (semi)stable with respect to the truncated Hilbert polynomial over a smooth projective variety. Consequently, this settles a conjecture of Langer in the affirmative. Our results apply in particular to Gieseker-semistable sheaves and generalize the well-known restriction theorems of Mehta and Ramanathan. As an application we construct a moduli space of sheaves in higher dimensions.
DOI : 10.4171/dm/957
Classification : 14F06, 14D20, 14J60
Mots-clés : semistable coherent sheaves, restriction theorems, moduli spaces 
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Mihai Pavel. Restriction theorems for semistable sheaves. Documenta mathematica, Tome 29 (2024) no. 3, pp. 597-625. doi: 10.4171/dm/957

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