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Natural cohomology of general Steiner bundles

Vlado Vojdanovski

Palomar Registrypalomar/PALOMAR-2026-10-28-000024Oct 28, 2026math.AGscore 0

Formalizes Theorem 1.1 of Natural Cohomology of General Steiner Bundles. Over every characteristic-zero field, for all n >= 1, t >= 1, and r >= n, a nonempty principal open of t by (t+r) matrices of linear forms on projective n-space has maximal rank in every homogeneous degree. The transposes give exact Steiner presentations of actual rank-r locally free sheaves, whose integer twists each have at most one nonzero sheaf cohomology group. The coefficient open is nonempty over the original field.

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