Fake quadrics with bounded cohomology property

Sichen Li

Source record

Source: arXiv

Published: Oct 3, 2026

arXiv: 2610.04509

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Source abstract

In this paper, we characterize fake quadrics $X$ satisfying the bounded cohomology property. Namely, there exists a constant $c_X>0$ such that $h^1(\mathcal O_X(C))\le c_X h^0(\mathcal O_X(C))$ for every curve $C$ on $X$ .

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Fake quadrics with bounded cohomology property — Mathematical Frontier Network