On explicit birational geometry for minimal n$n$‐folds of canonical dimension n−1$n-1$-Reference-Cited by-同舟云学术

On explicit birational geometry for minimal n$n$‐folds of canonical dimension n−1$n-1$

Published:2023-10-02 Issue:1 Volume:56 Page:319-337
ISSN:0024-6093
Container-title:Bulletin of the London Mathematical Society
language:en
Short-container-title:Bulletin of London Math Soc

Author:

Chen Meng¹,Esser Louis²,Wang Chengxi³^ORCID

Affiliation:

1. School of Mathematical Sciences Fudan University Shanghai China

2. Princeton Mathematics Department Fine Hall Princeton NJ USA

3. UCLA Mathematics Department Los Angeles CA USA

Abstract

AbstractLet be any integer. We study the optimal lower bound of the canonical volume and the optimal upper bound of the canonical stability index for minimal projective ‐folds of general type, which are canonically fibered by ‐folds (). The results for are known to experts. In this article, we compute sharp bounds for and give some characterization of optimal examples. The machinery introduced is applicable to all canonical dimensions .

Funder

National Natural Science Foundation of China

National Key Research and Development Program of China

National Science Foundation

Publisher

Wiley

Subject

General Mathematics

Link

https://londmathsoc.onlinelibrary.wiley.com/doi/pdf/10.1112/blms.12934

Reference26 articles.

1. Some Numerical Criteria for Contractability of Curves on Algebraic Surfaces

2. On Isolated Rational Singularities of Surfaces

3. Compact Complex Surfaces

4. Canonical models of surfaces of general type

5. Canonical stability in terms of singularity index for algebraic threefolds

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