PreprintCC BY-NC-ND 4.0arXiv
Freeness of Pluricanonical Linear System on Smooth Minimal n-folds of General Type
Abstract
Let X be a smooth minimal projective variety of general type of dimension n≥ 4 over bb C. We prove that |(n2+n)/2KX| is base point free. This gives a new bound for the pluricanonical case of Fujita Freeness Conjecture for nef and big canonical divisors.
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BibTeX
@misc{gu2026freeness,
title = {{Freeness of Pluricanonical Linear System on Smooth Minimal n-folds of General Type}},
author = {Hanye Gu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.23637},
eprint = {2609.23637},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.23637},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Freeness of Pluricanonical Linear System on Smooth Minimal n-folds of General Type
AU - Hanye Gu
PY - 2026
DA - 2026/09/26
PB - arXiv
DO - 10.48550/arxiv.2609.23637
UR - https://arxiv.org/abs/2609.23637
AB - Let X be a smooth minimal projective variety of general type of dimension n≥ 4 over bb C. We prove that |(n^2+n)/2K_X| is base point free. This gives a new bound for the pluricanonical case of Fujita Freeness Conjecture for nef and big canonical divisors.
ER -