English

On varieties with Ulrich twisted normal bundles

Algebraic Geometry 2022-09-12 v4

Abstract

We characterize smooth irreducible varieties with Ulrich twisted normal bundle.

Keywords

Cite

@article{arxiv.2205.06602,
  title  = {On varieties with Ulrich twisted normal bundles},
  author = {Angelo Felice Lopez},
  journal= {arXiv preprint arXiv:2205.06602},
  year   = {2022}
}

Comments

v2: we added some references and a new section; v3: we corrected a mistake in the proof of Thm.1 (we thank G. Casnati for pointing it out). The statement of Thm.1 has changed, allowing some surfaces in $\mathbb P^4$ and 3-folds in $\mathbb P^5$ with Ulrich twisted normal bundle (such as linear standard determinantal [KMR] and sect. 2); v4: added Prop.2.2, Rmk.2.3, Prop.3.1, Rmk.3.2 and sect. 5

R2 v1 2026-06-24T11:16:29.060Z