By R. Lazarsfeld
The most subject matters mentioned on the D. M. V. Seminar have been the connectedness theorems of Fulton and Hansen, linear normality and subvarieties of small codimension in projective areas. they're heavily comparable; therefore the connectedness theorem can be utilized to turn out the inequality-part of Hartshorne's conjecture on linear normality, while Deligne's generalisation of the connectedness theorem results in a refinement of Barth's effects at the topology of sorts with small codimension in a projective house. the fabric in regards to the connectedness theorem itself (including the hugely amazing software to tamely ramified coverings of the projective aircraft) are available within the paper through Fulton and the 1st writer: W. Fulton, R. Lazarsfeld, Connectivity and its purposes in algebraic geometry, Lecture Notes in Math. 862, p. 26-92 (Springer 1981). It used to be by no means meant to be written out in those notes. As to linear normality, the placement is diversified. the most element was once an exposition of Zak's paintings, for many of which there's no reference yet his letters. hence it really is applicable to take a longer model of the content material of the lectures because the primary a part of those notes.
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