Faltings heights over function fields of complex projective curves are modular invariants of families of curves.The question on minimized Faltings heights was raised by Mazur.In this note,we consider this question for...Faltings heights over function fields of complex projective curves are modular invariants of families of curves.The question on minimized Faltings heights was raised by Mazur.In this note,we consider this question for a simple class of families of hyperelliptic curves.We obtain a complete result of this question in this case.展开更多
In this paper, we establish a relationship between fractional Dehn twist coefficients of Riemann surface automorphisms and modular invariants of holomorphic families of algebraic curves. Specially, we give a character...In this paper, we establish a relationship between fractional Dehn twist coefficients of Riemann surface automorphisms and modular invariants of holomorphic families of algebraic curves. Specially, we give a characterization of pseudo-periodic maps with nontrivial fractional Dehn twist coefficients. We also obtain some uniform lower bounds of non-zero fractional Dehn twist coefficients.展开更多
基金Supported by NSFC(Grant No.12271073)Fundamental Research Funds of the Central Universities(Grant No.DUT18RC(4)065)。
文摘Faltings heights over function fields of complex projective curves are modular invariants of families of curves.The question on minimized Faltings heights was raised by Mazur.In this note,we consider this question for a simple class of families of hyperelliptic curves.We obtain a complete result of this question in this case.
基金supported by National Natural Science Foundation of China (Grant No. 11601504)Fundamental Research Funds of the Central Universities (Grant No. DUT18RC(4)065)。
文摘In this paper, we establish a relationship between fractional Dehn twist coefficients of Riemann surface automorphisms and modular invariants of holomorphic families of algebraic curves. Specially, we give a characterization of pseudo-periodic maps with nontrivial fractional Dehn twist coefficients. We also obtain some uniform lower bounds of non-zero fractional Dehn twist coefficients.
