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- W62215647 abstract "Rank two vector bundles and re°exive sheaves on projective n-space or, more generally, on a smooth algebraic variety, have been investigated since the seventies, with quite a few interesting results covering many areas of research. However the present survey is focused only on the interaction between rank two vector bundles and re°exive sheaves on a three-dimensional projective space on the one hand, and algebraic curves embedded in P on the other hand. Section 2 below is a dictionary with notations, de nitions and technical tools, so that the reader can look it up when necessary; Section 3 outlines a picture of the matter also from a historical point of view, and lists the related research; Section 4 contains some results about rank two bundles and re°exive sheaves only; Section 5 discusses the rst and second relevant sections of a re°exive sheaf in connection with the problem of nding the minimal degree of a surface containing a space curve; and nally Section 6 points to Gherardelli-type theorems." @default.
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- W62215647 date "2001-01-01" @default.
- W62215647 modified "2023-09-27" @default.
- W62215647 title "Rank Two Bundles and Reflexive Sheaves on P^3 and Corresponding Curves: an Overview" @default.
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