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The indeterminacy locus of the Voisin map

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Abstract

Beauville and Donagi proved that the variety of lines F(Y) of a smooth cubic fourfold Y is a hyperkähler variety. Recently, C. Lehn, M. Lehn, Sorger and van Straten proved that one can naturally associate a hyperkähler variety Z(Y) to the variety of twisted cubics on Y. Then, Voisin defined a degree 6 rational map \(\psi :F(Y)\times F(Y)\dashrightarrow Z(Y)\). We will show that the indeterminacy locus of \(\psi \) is the locus of intersecting lines.

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Authors and Affiliations

  1. Dipartimento di Matematica e Fisica, Università Degli Studi Roma Tre, Largo San Murialdo 1, 00146, Rome, Italy

    Giosuè Emanuele Muratore

  2. Université de Strasbourg, IRMA, 7 Rue René Descartes, 67000, Strasbourg, France

    Giosuè Emanuele Muratore

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Muratore, G.E. The indeterminacy locus of the Voisin map. Beitr Algebra Geom 61, 73–88 (2020). https://doi.org/10.1007/s13366-019-00454-x

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