Algebraic independence of the special values of Drinfeld modular forms at CM points
代数学セミナー
開催期間
2010.2.19(金)
15:30 ~ 16:30
15:30 ~ 16:30
場所
伊都キャンパス 伊都図書館3階 小講義室 2
講演者
Chieh-Yu Chang （NCTS and National Central Univ.）
概要
Let A be a polynomial ring in one variable over a finite field and
let k be its fraction field. Let f be a Drinfeld modular form of nonzero
weight for a congruence subgroup of GL(2,A) so that the coefficients of
the expansion of f at infinity are algebraic over k. We consider n CM points
on the Drinfeld upper half plane for which the corresponding CM fields are
pairwise distinct. If f is non-vanishing at these n CM points, then we
prove that the values of f at these CM points are algebraically independent
over k.