Bundles on Pn with vanishing lower cohomologies
We study bundles on projective spaces that have vanishing lower cohomologies using their short minimal free resolutions. We partition the moduli $\mathbf{M}$ according to the Hilbert function $H$ and classify all possible Hilbert functions $H$ of such bundles. For each $H$, we describe a stratification of $\mathbf{M}_H$ by quotients of rational varieties. We show that the closed strata form a graded lattice given by the Betti numbers.
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Algebraic Geometry
Commutative Algebra
