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Finding ein components in the moduli spaces of stable rank 2 bundles on the projective 3-space

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Abstract

Some method is proposed for finding Ein components in moduli spaces of stable rank 2 vector bundles with first Chern class c 1 = 0 on the projective 3-space. We formulate and illustrate a conjecture on the growth rate of the number of Ein components in dependence on the numbers of the second Chern class. We present a method for calculating the spectra of the above bundles, a recurrent formula, and an explicit formula for computing the number of the spectra of these bundles.

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Correspondence to A. A. Kytmanov.

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Krasnoyarsk; Yaroslavl’; Koryazhma. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 57, No. 2, pp. 410–419, March–April, 2016; DOI: 10.17377/smzh.2016.57.214.

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Kytmanov, A.A., Osipov, N.N. & Tikhomirov, S.A. Finding ein components in the moduli spaces of stable rank 2 bundles on the projective 3-space. Sib Math J 57, 322–329 (2016). https://doi.org/10.1134/S0037446616020142

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  • DOI: https://doi.org/10.1134/S0037446616020142

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