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Izvestiya: Mathematics, 2005, Volume 69, Issue 6, Pages 1137–1167
DOI: https://doi.org/10.1070/IM2005v069n06ABEH002293 (Mi im666) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The topological type of the Fano surface of a real three-dimensional $M$-cubic

V. A. Krasnov

P. G. Demidov Yaroslavl State University
English version PDF (342 kB) Citations (2)
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DOI: https://doi.org/10.1070/IM2005v069n06ABEH002293
Abstract: We compute the topological type of the real part of the Fano surface that parametrizes the set of real lines a non-singular real $M$-threefold. When studying Fano surfaces, we use the results and constructions in [3] on the intermediate Jacobian of a three-dimensional complex cubic. We begin by computing the topological type of the real part of the Fano surface that parametrizes the set of real lines on a singular real $M$-cubic with a single simple singular point.
Received: 27.01.2005
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2005, Volume 69, Issue 6, Pages 61–94
DOI: https://doi.org/10.4213/im666
Bibliographic databases:
UDC: 512.7
MSC: 14P25
Language: English
Original paper language: Russian
Citation: V. A. Krasnov, “The topological type of the Fano surface of a real three-dimensional $M$-cubic”, Izv. RAN. Ser. Mat., 69:6 (2005), 61–94; Izv. Math., 69:6 (2005), 1137–1167
Citation in format AMSBIB
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\paper The topological type of the Fano surface of a~real three-dimensional $M$-cubic
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\pages 61--94
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\jour Izv. Math.
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  • https://www.mathnet.ru/eng/im/v69/i6/p61
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:481
    Russian version PDF:226
    English version PDF:25
    References:62
    First page:1
     
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