English

Strong BSD for abelian surfaces and the Bloch-Beilinson conjecture

Algebraic Geometry 2025-12-30 v2 Number Theory

Abstract

In this paper, we prove the Bloch-Beilinson conjecture for certain abelian surfaces over Q\mathbb{Q}, provided that the BSD is known for these abelian surfaces.

Keywords

Cite

@article{arxiv.2509.24645,
  title  = {Strong BSD for abelian surfaces and the Bloch-Beilinson conjecture},
  author = {Kalyan Banerjee},
  journal= {arXiv preprint arXiv:2509.24645},
  year   = {2025}
}

Comments

12 pages, certain incomplete arguments have been addressed