English

On the birational geometry of sextic threefold hypersurface in $\mathbf{P}(1,1,2,2,3)$

Algebraic Geometry 2026-01-22 v3

Abstract

We investigate birational properties of hypersurfaces of degree 66 in the weighted projective space P(1,1,2,2,3)\mathbf{P}(1,1,2,2,3). In particular, we prove that any such quasi-smooth hypersurface is not rational.

Keywords

Cite

@article{arxiv.2412.05120,
  title  = {On the birational geometry of sextic threefold hypersurface in $\mathbf{P}(1,1,2,2,3)$},
  author = {Yuri Prokhorov},
  journal= {arXiv preprint arXiv:2412.05120},
  year   = {2026}
}

Comments

16 pages, revised version