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Sbornik: Mathematics, 2007, Volume 198, Issue 3, Pages 433–446
DOI: https://doi.org/10.1070/SM2007v198n03ABEH003843 (Mi sm3773) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Gromov–Witten invariants of Fano threefolds of genera 6 and 8

V. V. Przyjalkowski

Steklov Mathematical Institute, Russian Academy of Sciences
English version PDF (352 kB) Citations (10)
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DOI: https://doi.org/10.1070/SM2007v198n03ABEH003843
Abstract: The aim of the paper is to prove in the case of the Fano threefolds $V_{10}$ and $V_{14}$ Golyshev's conjecture on the modularity of the $D3$ equations for smooth Fano threefolds with Picard group $\mathbb Z$. More precisely, the counting matrices of prime two-pointed invariants of $V_{10}$ and $V_{14}$ are found with the help of a method allowing one to find the Gromov–Witten invariants of complete intersections in varieties for which these invariants are (partially) known.
Bibliography: 33 titles.
Received: 13.07.2004 and 20.04.2006
Russian version:
Matematicheskii Sbornik, 2007, Volume 198, Number 3, Pages 145–158
DOI: https://doi.org/10.4213/sm3773
Bibliographic databases:
Document Type: Article
UDC: 512.776
MSC: 14J45, 11F23
Language: English
Original paper language: Russian
Citation: V. V. Przyjalkowski, “Gromov–Witten invariants of Fano threefolds of genera 6 and 8”, Mat. Sb., 198:3 (2007), 145–158; Sb. Math., 198:3 (2007), 433–446
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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