Number Theory Seminar
主講者: | 薛江維博士 (National Center for Theorical Sciences) |
講題: | The Hodge group of certain superelliptic Jacobians |
時間: | 2010-08-13 (Fri.) 14:00 - 15:15 |
地點: | 數學所 714 研討室 (台大院區) |
Abstract: | Let p be a prime, q=p^r be a power power of p. Suppose that f(x) is a polynomial of degree n with coefficients in a subfield K of the complex numbers and f has no multiple roots. Let us consider the superelliptic curve y^q=f(x) and its Jacobian. Under certain generic conditions, we determine the Hodge group (special Mumford-Tate group) of the simple factors of the Jacobian. |
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