A note on Gekeler's h-function

作者：Breuer Florian^*

来源：ARCHIV DER MATHEMATIK, 2016, 107(4): 305-313.

DOI：10.1007/s00013-016-0923-1

• Drinfeld modular form
• Drinfeld module
• h-Function
• Eisenstein series
• Moore determinant
• Weil pairing
• j-invariant

We give a brief introduction to Drinfeld modular forms, concentrating on the many equivalent constructions of the form h of weight q+1 and type 1, to which we contribute some new characterizations involving Moore determinants, and an application to the Weil pairing on Drinfeld modules. We also define Drinfeld modular functions of non-zero type and provide a moduli interpretation of these.

• 出版日期2016-10