English

On the log canonical ring in Kodaira dimension two

Algebraic Geometry 2023-02-14 v3

Abstract

We prove that the log canonical ring of a projective log canonical pair in Kodaira dimension two is finitely generated.

Keywords

Cite

@article{arxiv.1911.01828,
  title  = {On the log canonical ring in Kodaira dimension two},
  author = {Haidong Liu},
  journal= {arXiv preprint arXiv:1911.01828},
  year   = {2023}
}

Comments

Any comments are welcome. v2: We add a section on variation of mixed Hodge structures, correct some typos and explain the proofs in more details. arXiv admin note: text overlap with arXiv:1811.01334. v3: published version. We significantly revise the previous one for submission