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Izvestiya: Mathematics, 2015, Volume 79, Issue 4, Pages 698–709
DOI: https://doi.org/10.1070/IM2015v079n04ABEH002758 (Mi im8339) 		 
This article is cited in 19 scientific papers (total in 19 papers)

On Küchle varieties with Picard number greater than 1

A. G. Kuznetsov

Steklov Mathematical Institute of Russian Academy of Sciences
English version PDF (265 kB) Citations (19) Russian version article
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DOI: https://doi.org/10.1070/IM2015v079n04ABEH002758
Abstract: We describe the geometry of Küchle varieties (that is, Fano fourfolds of index 1 contained in Grassmannians as zero loci of sections of equivariant vector bundles) with Picard number greater than 1. We also describe the structure of their derived categories.
Keywords: Fano varieties, special varieties, semiorthogonal decompositions of derived categories.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.
Received: 19.01.2015
Bibliographic databases:
Document Type: Article
UDC: 512.7
MSC: 14J35, 14J45, 14M15
Language: English
Original paper language: Russian
Citation: A. G. Kuznetsov, “On Küchle varieties with Picard number greater than 1”, Izv. Math., 79:4 (2015), 698–709
Citation in format AMSBIB
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\paper On K\"uchle varieties with Picard number greater than~1
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\vol 79
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\pages 698--709
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  • https://www.mathnet.ru/eng/im/v79/i4/p57
    • This publication is cited in the following 19 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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