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|Title:||Component group of the p-new subvariety of J0(Mp)|
|Source:||Ling, S. (2000). Component group of the p-new subvariety of J0(Mp). Israel Journal of Mathematics 116 : 117-123. ScholarBank@NUS Repository.|
|Abstract:||For an abelian variety A over ℚp, the special fibre in the Néron model of A over ℤp is the extension of a finite group scheme over double-struck F signp, called the group of connected components, by the connected component of identity. When A is the Jacobian variety of an algebraic curve, its component group has been calculated in many cases. We determine in this paper the component group of the p-new subvariety of J0(Mp), for M > 1 a positive integer and p ≥ 5 a prime not dividing M. Such a subvariety is not the Jacobian of any obvious curve, but it is not clear if it can ever be realised as the Jacobian of a curve.|
|Source Title:||Israel Journal of Mathematics|
|Appears in Collections:||Staff Publications|
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