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math.AG2024
Albanese fibrations of surfaces with low slope
Songbo Ling, Xin Lü
Let be a minimal irregular surface of general type, whose Albanese map induces a fibration of genus .We prove a linear upper bound on the genus if $K_S^2\l…
math.AG2024
Non-existence of Shimura curves of Mumford type generically in the non-hyperelliptic locus
Xin Lu, Shengli Tan, Kang Zuo
We show that there does not exist any Shimura curve with strictly maximal Higgs field generically in the Torelli locus of non-hyperelliptic curves of genus . In particular…