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Smooth projective surfaces with bounded cohomology property II
Abstract
Let X be a smooth projective surface with Picard number two, where either X is a geometrically ruled surface or the closed Mori cone is rational polyhedral. In this paper, we characterize X with the bounded cohomology property, i.e., there exists a constant cX>0 such that h1(𝒪X(C))≤ cXh0(𝒪X(C)) for every curve C on X.
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BibTeX
@misc{li2026smooth,
title = {{Smooth projective surfaces with bounded cohomology property II}},
author = {Sichen Li},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2608.12005},
eprint = {2608.12005},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.12005},
}
RIS
TY - UNPB
TI - Smooth projective surfaces with bounded cohomology property II
AU - Sichen Li
PY - 2026
DA - 2026/09/01
PB - arXiv
DO - 10.48550/arxiv.2608.12005
UR - https://arxiv.org/abs/2608.12005
AB - Let X be a smooth projective surface with Picard number two, where either X is a geometrically ruled surface or the closed Mori cone is rational polyhedral. In this paper, we characterize X with the bounded cohomology property, i.e., there exists a constant c_X>0 such that h^1(𝒪_X(C))≤ c_Xh^0(𝒪_X(C)) for every curve C on X.
ER -