Rigid surfaces arbitrarily close to the Bogomolov–Miyaoka–Yau line

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چکیده

We prove the existence of rigid compact complex surfaces general type whose Chern slopes are arbitrarily close to Bogomolov--Miyaoka--Yau bound $3$. In addition, each these has first Betti number equal $4$.

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ژورنال

عنوان ژورنال: American Journal of Mathematics

سال: 2022

ISSN: ['0002-9327', '1080-6377']

DOI: https://doi.org/10.1353/ajm.2022.0044