English

Birationally solid Fano 3-fold hypersurfaces

Algebraic Geometry 2023-09-12 v3

Abstract

A Fano variety of Picard number 11 is said to be \textit{birationally solid} if it is not birational to a Mori fiber space over a positive dimensional base. In this paper we complete the classification of quasi-smooth birationally solid Fano 33-fold weighted hypersurfaces.

Keywords

Cite

@article{arxiv.2305.06183,
  title  = {Birationally solid Fano 3-fold hypersurfaces},
  author = {Takuzo Okada},
  journal= {arXiv preprint arXiv:2305.06183},
  year   = {2023}
}

Comments

72 pages. v3: Introduction is slightly modified and a reference is added. v2: A short section (Section 2.1.3) discussing the classification of Fano 3-fold weighted hypersurfaces is added, and some typos are corrected

R2 v1 2026-06-28T10:31:06.897Z