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In this chapter, as well as the two following ones, we leave aside all questions of rationality. So let us suppose that the base field k is algebraically closed (of any characteristic). For the definitions and elementary results related to algebraic varieties and sheaves, I refer to my memoir on coherent sheaves , which will be cited FAC in what follows. In any case, there is no difficulty passing from this language to that of Weil , , or to that of schemes.
KeywordsVector Space Exact Sequence Projective Space Local Ring Algebraic Variety
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