Geodesic
On numerical characteristics of some bundles and their isomorphism classes on $\mathbb{P}^3$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 19 (2022) no. 2, pp. 415-425

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We obtain formulas in the explicit form for the spectra of a family of stable rank $2$ vector bundles on $\mathbb{P}^3$ which isomorphism classes constitute the so-called Ein components in the Gieseker–Maruyama moduli scheme. We also obtain formulas in the explicit form for dimensions of the moduli space of the modified instanton bundles, and for their spectra. We show that Vedernikov and Hartshorne families in the Gieseker–Maruyama moduli scheme are particular cases of the Ein components.
Keywords: stable vector bundle, Chern classes, Ein component, modified instanton bundles. 
@article{SEMR_2022_19_2_a22,
     author = {A. A. Kytmanov and N. N. Osipov and S. A. Tikhomirov and T. V. Zykova},
     title = {On numerical characteristics of some bundles and their isomorphism classes on $\mathbb{P}^3$},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {415--425},
     publisher = {mathdoc},
     volume = {19},
     number = {2},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2022_19_2_a22/}
}
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A. A. Kytmanov; N. N. Osipov; S. A. Tikhomirov; T. V. Zykova. On numerical characteristics of some bundles and their isomorphism classes on $\mathbb{P}^3$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 19 (2022) no. 2, pp. 415-425. http://geodesic.mathdoc.fr/item/SEMR_2022_19_2_a22/