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Tate Resolutions on Products of Projective Spaces: Cohomology and Direct Image Complexes
Daniel Erman, David Eisenbud, Frank-Olaf Schreyer
We describe the Macaulay2 package TateOnProducts and its capabilities, which include computing cohomology tables and Beilinson monads of sheaves on products of projective spaces an…
math.AG2018
Strength and Hartshorne's Conjecture in high degree
Daniel Erman, Steven V Sam, Andrew Snowden
Hartshorne conjectured that a smooth, codimension c subvariety of n-dimensional projective space must be a complete intersection, whenever c is less than n/3. We prove this in the…