English

A note on cubic fourfolds containing several planes

Algebraic Geometry 2025-12-16 v2

Abstract

We study the geometry, Hodge theory and derived category of cubic fourfolds containing several planes and their associated twisted K3 surfaces. We focus on the case of two planes intersecting along a line.

Keywords

Cite

@article{arxiv.2509.06666,
  title  = {A note on cubic fourfolds containing several planes},
  author = {Moritz Hartlieb},
  journal= {arXiv preprint arXiv:2509.06666},
  year   = {2025}
}

Comments

28 pages; new title and minor changes. comments are welcome!

R2 v1 2026-07-01T05:26:24.140Z