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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
https://hdl.handle.net/11365/17534