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 note,by using the method of S.Zhang[1],we obtain the local version of a theorem of BGS[2]which links Faltings heights of projective varieties with the Philippon heights for the corresponding generalized Chow p...In this note,by using the method of S.Zhang[1],we obtain the local version of a theorem of BGS[2]which links Faltings heights of projective varieties with the Philippon heights for the corresponding generalized Chow points.By the stable reduction theorem of S.Zhang[1],we prove that Chow semistabilities and generalized Chow semistabilities are the same.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.
文摘In this note,by using the method of S.Zhang[1],we obtain the local version of a theorem of BGS[2]which links Faltings heights of projective varieties with the Philippon heights for the corresponding generalized Chow points.By the stable reduction theorem of S.Zhang[1],we prove that Chow semistabilities and generalized Chow semistabilities are the same.
