Special issue in honour of A. Barlotti. We generalize the theory of sheaves to chamber systems. We prove that, given a chamber system W and a family R of proper residues of C containing all residues of rank less than or equal to 1, every sheaf defined over R admits a completion which extends W. We also prove that, under suitable hypotheses, a sheaf defined over a truncation of W can be extended to a sheaf for W. In the last section of this paper, we apply these results to a number of special cases.

Pasini, A. (2003). Extending locally truncated chamber systems by sheaves. ADVANCES IN GEOMETRY, 3(Special ISSUE), 75-104 [10.1515/advg.2003.2003.s1.75].

Extending locally truncated chamber systems by sheaves

PASINI, ANTONIO
2003-01-01

Abstract

Special issue in honour of A. Barlotti. We generalize the theory of sheaves to chamber systems. We prove that, given a chamber system W and a family R of proper residues of C containing all residues of rank less than or equal to 1, every sheaf defined over R admits a completion which extends W. We also prove that, under suitable hypotheses, a sheaf defined over a truncation of W can be extended to a sheaf for W. In the last section of this paper, we apply these results to a number of special cases.
2003
Pasini, A. (2003). Extending locally truncated chamber systems by sheaves. ADVANCES IN GEOMETRY, 3(Special ISSUE), 75-104 [10.1515/advg.2003.2003.s1.75].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11365/17534