On the uniruled Voisin divisor on the LLSvS variety
Abstract
Abstract Let Y be a smooth cubic fourfold not containing any plane, F be its Fano variety of lines and Z be its associated LLSvS variety, parametrizing families of twisted cubics and some of their degenerations. In this short note, we show that for the general cubic fourfold the divisor of singular cubic surfaces on Z has two irreducible components, one of which coincides with the uniruled branch divisor of a resolution of the Voisin map $$F\times F \dashrightarrow Z$$ F × F ⤏ Z .
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Advanced Algebra and Geometry
Meromorphic and Entire Functions
Publication details
- Journal / source
- Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
- Publisher
- Springer Science and Business Media LLC
- Publication date
- 6 May 2026
- Language
- EN