Geodesic
Bundles on $\textbf{P}^n$ with vanishing lower cohomologies
Canadian journal of mathematics, Tome 73 (2021) no. 4, pp. 993-1012

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DOI

We study bundles on projective spaces that have vanishing lower cohomologies using their short minimal free resolutions. We partition the moduli $\mathcal{M}$ according to the Hilbert function H and classify all possible Hilbert functions H of such bundles. For each H, we describe a stratification of $\mathcal{M}_H$ by quotients of rational varieties. We show that the closed strata form a graded lattice given by the Betti numbers.
DOI : 10.4153/S0008414X20000292
Mots-clés : Bundles, moduli, Betti numbers 
Zhang, Mengyuan. Bundles on $\textbf{P}^n$ with vanishing lower cohomologies. Canadian journal of mathematics, Tome 73 (2021) no. 4, pp. 993-1012. doi: 10.4153/S0008414X20000292
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     title = {Bundles on $\textbf{P}^n$ with vanishing lower cohomologies},
     journal = {Canadian journal of mathematics},
     pages = {993--1012},
     year = {2021},
     volume = {73},
     number = {4},
     doi = {10.4153/S0008414X20000292},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X20000292/}
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