Abstract
Our goal is to study the syzygies of the projective embeddings defined by the ample line bundles on a fake projective plane $S$. The syzygies are studied in terms of the property $N_p$. For various kinds of ample line bundles, we give explicit lower bounds for their powers above which the property $N_p$ is satisfied.
Funding Statement
The first author was partially supported by National Natural
Science Foundation of China (Grant No. 11501205) and Science and Technology Commission of
Shanghai Municipality (Grant No. 13dz2260400). The second author was partially supported by
grants from the National Science Foundation, USA.
Acknowledgments
It is a pleasure for the authors to thank Donald Cartwright for providing computer data files for the proof of Theorem 4.2 which leads to Theorem 1.5 and thank Lawrence Ein and Jun-Muk Hwang for fruitful discussions and providing very useful references. They would also like to thank the anonymous referees for carefully reading the paper and giving helpful suggestions.
Citation
Sui-Chung Ng. Sai-Kee Yeung. "On the Syzygies of Ample Line Bundles on Fake Projective Planes." Taiwanese J. Math. 26 (1) 49 - 67, February, 2022. https://doi.org/10.11650/tjm/210901
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