PreprintarXiv licencearXiv
Fake quadrics with bounded cohomology property
Abstract
In this paper, we characterize fake quadrics X satisfying the bounded cohomology property. Namely, there exists a constant cX>0 such that h1(𝒪X(C))≤ cX h0(𝒪X(C)) for every curve C on X.
Related
- Smooth projective surfaces with bounded cohomology property II
- Bounded cohomology property on Jacobian elliptic surfaces with simplicial Mori cones
- Exact bounded cohomology of measure-preserving homeomorphism groups of nonorientable hyperbolic manifolds
- Hochschild cohomology and AS-Gorenstein property of weak Hopf Galois extensions
- Bounded cohomology, Codimension two submanifolds and Pontryagin-Thom constructions
BibTeX
@misc{li2026fake,
title = {{Fake quadrics with bounded cohomology property}},
author = {Sichen Li},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.04509},
eprint = {2610.04509},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.04509},
}
RIS
TY - UNPB
TI - Fake quadrics with bounded cohomology property
AU - Sichen Li
PY - 2026
DA - 2026/10/03
PB - arXiv
DO - 10.48550/arxiv.2610.04509
UR - https://arxiv.org/abs/2610.04509
AB - In this paper, we characterize fake quadrics X satisfying the bounded cohomology property. Namely, there exists a constant c_X>0 such that h^1(𝒪_X(C))≤ c_X h^0(𝒪_X(C)) for every curve C on X.
ER -