Geodesic
Higher Dimensional Harmonic Volume Can be Computed as an Iterated Integral
Canadian mathematical bulletin, Tome 35 (1992) no. 3, pp. 328-340

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In this paper it is shown that the computation of higher dimensional harmonic volume, defined in [1], can be reduced to Harris' computation in the onedimensional case (See [3]), so that higher dimensional harmonic volume may be computed essentially as an iterated integral. We then use this formula to produce a specific smooth curve , namely a specific double cover of the Fermat quartic, so that the image of the second symmetric product of in its Jacobian via the Abel-Jacobi map is algebraically inequivalent to the image of under the group involution on the Jacobian.
DOI : 10.4153/CMB-1992-045-3
Mots-clés : 14H40, 14C10, harmonic volume, algebraic equivalence 
Faucette, William M. Higher Dimensional Harmonic Volume Can be Computed as an Iterated Integral. Canadian mathematical bulletin, Tome 35 (1992) no. 3, pp. 328-340. doi: 10.4153/CMB-1992-045-3
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     title = {Higher {Dimensional} {Harmonic} {Volume} {Can} be {Computed} as an {Iterated} {Integral}},
     journal = {Canadian mathematical bulletin},
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     year = {1992},
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