The transcendental part of the regulator map forK1 on a mirror family of K3-surfaces
del Angel, Pedro Luis ; Müller-Stach, Stefan J.
Duke Math. J., Tome 115 (2002) no. 1, p. 581-598 / Harvested from Project Euclid
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We compute the transcendental part of the normal function corresponding to the Deligne class of a cycle in $K\sb 1$ of a mirror family of quartic $K3$ surfaces. The resulting multivalued function does not satisfy the hypergeometric differential equation of the periods, and we conclude that the cycle is indecomposable for most points in the mirror family. The occurring inhomogenous Picard-Fuchs equations are related to Painlevé VI-type differential equations.
Publié le : 2002-04-15
Classification:  14C25,  14F43,  14J15,  19E15,  32Q25,  34M55 
@article{1087575187,
     author = {del Angel, Pedro Luis and M\"uller-Stach, Stefan J.},
     title = {The transcendental part of the regulator map forK<sub>1</sub> on a mirror family of K3-surfaces},
     journal = {Duke Math. J.},
     volume = {115},
     number = {1},
     year = {2002},
     pages = { 581-598},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1087575187}
}

del Angel, Pedro Luis; Müller-Stach, Stefan J. The transcendental part of the regulator map forK1 on a mirror family of K3-surfaces. Duke Math. J., Tome 115 (2002) no. 1, pp.  581-598. http://gdmltest.u-ga.fr/item/1087575187/