Journal of the European Mathematical Society
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Table of Contents | JEMS summary
Volume 12, Issue 3, 2010, pp. 703–722
DOI: 10.4171/JEMS/212
Cohomology of coherent sheaves and series of supernatural bundles
David Eisenbud (1) and Frank-Olaf Schreyer (2)
(1) Mathematical Sciences Research Institute, 1000 Centennial Drive, CA 94720-5070, BERKELEY, UNITED STATES(2) FB Mathematik und Informatik, Universität des Saarlandes, Postfach 15 11 50 - Geb. 27.1, D-66041, SAARBRÜCKEN, GERMANY
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.
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