The splitting of some Jacobi varieties using their automorphism groups

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“…While writing this proof, the authors learned that it had been shown (cf. [8]) that the p.p.a.v. 's of dimension three with standard action of S 4 are all Jacobians, which gives another proof of the irreducibility in the particular case n = 3.…”

“…The special case of dimension three appears in [8] and in [10]. The more general case for Weyl groups will appear elsewhere.…”

Families of irreducible principally polarized abelian varieties isomorphic to a product of elliptic curves

“…While writing this proof, the authors learned that it had been shown (cf. [8]) that the p.p.a.v. 's of dimension three with standard action of S 4 are all Jacobians, which gives another proof of the irreducibility in the particular case n = 3.…”

“…The special case of dimension three appears in [8] and in [10]. The more general case for Weyl groups will appear elsewhere.…”