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Cohomology of coherent sheaves and series of supernatural bundles

David Eisenbud, Frank-Olaf Schreyer (2010)

Journal of the European Mathematical Society

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.

Cohomology, symmetry and perfection.

Emili Bifet (1992)

Publicacions Matemàtiques

We explain the philosophy behind the computations in [BDP] and place them in a wider conceptual setting. We also outline, for toric varieties, the resulting equivalent approach to some key results in that theory.

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