The old subvariety ofJ
0(pq) and the Eisenstein kernel in Jacobians |
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Authors: | San Ling |
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Institution: | (1) Department of Mathematics, National University of Singapore, 0511 Singapore |
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Abstract: | Whenp, q are distinct odd primes, and γ:J
0(p)2×J
0(q)2→J
0(pq) is the natural map defined by the degeneracy maps, Ribet 10] determined the odd part of the kernel of γ. We study the 2-primary
part of this kernel through its intersection with the Eisenstein kernelJ
0(p)I
p
)2×J
0(q)I
q
]2. We determine this intersection forp≢1 mod 16,q≢1 mod 16, and also produce new elements of ker γ wheneverp≡9 mod 16 orq≡9 mod 16. These sharpen Ribet's results in 10]. |
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Keywords: | |
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