On the variety of triangles for a hyper-Kähler fourfold constructed by Debarre and Voisin |
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Authors: | Ivan Bazhov |
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Institution: | Institut de Mathématiques de Jussieu, 4 Place Jussieu, 75005, France |
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Abstract: | We study the similarities between the Fano varieties of lines on a cubic fourfold, a hyper-Kähler fourfold studied by Beauville and Donagi, and the hyper-Kähler fourfold constructed by Debarre and Voisin in 3]. We exhibit an analog of the notion of “triangle” for these varieties and prove that the 6-dimensional variety of “triangles” is a Lagrangian subvariety in the cube of the constructed hyper-Kähler fourfold. |
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Keywords: | 14C99 14M99 Hyper-Kähler varieties Lagrangian subvarieties Fano variety of lines Algebraic cycles Chow rings |
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