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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