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- Title
On graded Betti numbers and geometrical properties of projective varieties.
- Authors
Nagel, Uwe; Pitteloud, Yves
- Abstract
In this paper we study graded Betti numbers of projective varieties. Using a spectral sequence argument, we establish an algebraic version of a duality Theorem proved first by Mark Green. Our approach doesn't require any smoothness or characteristic 0 assumption. We then study the graded Betti numbers of finite subschemes of a rational normal curve and apply these results to generalize another theorem of Mark Green, the K theorem, to some non-reduced schemes. Our result applies for instance in the case of ribbons.
- Publication
Manuscripta Mathematica, 1994, Vol 84, Issue 1, p291
- ISSN
0025-2611
- Publication type
Article
- DOI
10.1007/BF02567458