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Sibirskii Matematicheskii Zhurnal, 2016, Volume 57, Number 2, Pages 410–419
DOI: https://doi.org/10.17377/smzh.2016.57.214 (Mi smj2753) 		 
This article is cited in 7 scientific papers (total in 7 papers)

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

A. A. Kytmanova, N. N. Osipova, S. A. Tikhomirovbc

a Siberian Federal University, Krasnoyarsk, Russia
b Koryazhma Branch of Lomonosov Nothern (Arctic) Federal University, Koryazhma, Russia
c Ushinsky Yaroslavl State Pedagogical University, Yaroslavl, Russia
Full-text PDF (351 kB) Citations (7)
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DOI: https://doi.org/10.17377/smzh.2016.57.214
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.
Keywords: stable bundle, Chern class, moduli space.
Funding agency Grant number
Russian Foundation for Basic Research 15-31-20008-мол_а_вед
14-01-00283-а
Ministry of Education and Science of the Russian Federation 1.1462.2014/K
1.14.365
The authors were supported by the Russian Foundation for Basic Research (Grant 15-31-20008-mol_a_ved, the first and third authors; Grant 14-01-00283-a, the first author); the Ministry of Education and Science of the Russian Federation (Government Task 1.1462.2014/K, the first and second authors), and the basic part of Government Task 1.14.365 (the third author).
Received: 05.05.2015
English version:
Siberian Mathematical Journal, 2016, Volume 57, Issue 2, Pages 322–329
DOI: https://doi.org/10.1134/S0037446616020142
Bibliographic databases:
Document Type: Article
UDC: 512.7
Language: Russian
Citation: A. A. Kytmanov, N. N. Osipov, S. A. Tikhomirov, “Finding ein components in the moduli spaces of stable rank $2$ bundles on the projective $3$-space”, Sibirsk. Mat. Zh., 57:2 (2016), 410–419; Siberian Math. J., 57:2 (2016), 322–329
Citation in format AMSBIB
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\paper Finding ein components in the moduli spaces of stable rank~$2$ bundles on the projective $3$-space
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\vol 57
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\pages 410--419
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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