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arXiv · 1910.02616

Bundles on Pn with vanishing lower cohomologies

Mengyuan Zhang
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Abstract

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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Mengyuan Zhang. 2019-10-07. Bundles on Pn with vanishing lower cohomologies. https://doi.org/10.4153/s0008414x20000292

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