The indeterminacy locus of the Voisin map
Giosu\`e Emanuele Muratore

TL;DR
This paper investigates the indeterminacy locus of a rational map between hyperk"ahler varieties associated with cubic fourfolds, revealing it corresponds to intersecting lines on the fourfold.
Contribution
It identifies the indeterminacy locus of Voisin's map as the set of intersecting lines, clarifying the map's geometric behavior.
Findings
Indeterminacy locus is the set of intersecting lines.
The map's indeterminacy is explicitly characterized.
Provides insight into the geometry of hyperk"ahler varieties.
Abstract
Beauville and Donagi proved that the variety of lines of a smooth cubic fourfold is a hyperk\"ahler variety. Recently, C. Lehn, M.Lehn, Sorger and van Straten proved that one can naturally associate a hyperK\"ahler variety to the variety of twisted cubics on . Then, Voisin defined a degree 6 rational map . We will show that the indeterminacy locus of is the locus of intersecting lines.
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