Publication details
Manin's conjecture for the chordal cubic fourfold
Abstract
We prove the thin set version of Manin's conjecture for the chordal (or: determinantal) cubic fourfold, which is the secant variety of the Veronese surface. We reduce this counting problem to a result of Schmidt for quadratic points in the projective plane by showing that the chordal cubic fourfold is isomorphic to the symmetric square of the projective plane over the rational numbers.
Details
- Organisation(s)
-
Institute of Algebra, Number Theory and Discrete Mathematics
- Type
- Preprint
- Publication date
- 22.04.2025
- Publication status
- E-pub ahead of print
- Electronic version(s)
-
https://doi.org/10.48550/arXiv.2504.16051 (Access:
Open
)
