We show that the cohomology table of any coherent sheaf on projective space is a convergent—but possibly infinite—sum of positive real multiples of the cohomology tables of what we call supernatural sheaves.
Cite this article
David Eisenbud, Frank-Olaf Schreyer, Cohomology of coherent sheaves and series of supernatural bundles. J. Eur. Math. Soc. 12 (2010), no. 3, pp. 703–722DOI 10.4171/JEMS/212