English

Simple Complex Tori of Algebraic Dimension 0

Algebraic Geometry 2023-06-23 v4 Complex Variables

Abstract

Using Galois theory, we construct explicitly (in all complex dimensions >1) an infinite family of simple complex tori of algebraic dimension 0 with Picard number 0.

Cite

@article{arxiv.2106.10308,
  title  = {Simple Complex Tori of Algebraic Dimension 0},
  author = {Tatiana Bandman and Yuri G. Zarhin},
  journal= {arXiv preprint arXiv:2106.10308},
  year   = {2023}
}

Comments

22 pages. arXiv admin note: substantial text overlap with arXiv:2103.07015

R2 v1 2026-06-24T03:22:27.612Z