English

Concave transforms of compactified S-metrized divisors

Algebraic Geometry 2025-05-21 v1

Abstract

We associate a concave transform to any compactified S-metrized divisor on a quasi-projective variety over an adelic curve. Then we show a Hilbert-Samuel type formula for relatively nef compactified S-metrized YZ-divisors.

Keywords

Cite

@article{arxiv.2505.14023,
  title  = {Concave transforms of compactified S-metrized divisors},
  author = {Debam Biswas and Yulin Cai},
  journal= {arXiv preprint arXiv:2505.14023},
  year   = {2025}
}