The indeterminacy locus of the Voisin map
Algebraic Geometry
2024-08-02 v4
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.
Cite
@article{arxiv.1711.06218,
title = {The indeterminacy locus of the Voisin map},
author = {Giosuè Emanuele Muratore},
journal= {arXiv preprint arXiv:1711.06218},
year = {2024}
}
Comments
15 pages. Typo in proposition 2.2. Introduced Remark 2.3. Chages in reference LLSvS17. Insered $W_{ADE}$ and removed the explanation of $\phi$ Definition of $\psi'$ using the Rigidity Lemma. E is now the support of the exceptional divisor