TY - JOUR
T1 - Picard-Fuchs equations of families of QM abelian surfaces
AU - Besser, Amnon
AU - Livné, Ron
N1 - Publisher Copyright:
© by International Press of Boston, Inc.
PY - 2018
Y1 - 2018
N2 - We describe an algorithm for computing the Picard-Fuchs equation for a family of twists of a fixed elliptic surface. We then apply this algorithm to obtain the equations for several examples, which come from families of Kummer surfaces over Shimura curves, as studied in our previous work. We use this to find correspondences between the parameter spaces of our families and Shimura curves.
AB - We describe an algorithm for computing the Picard-Fuchs equation for a family of twists of a fixed elliptic surface. We then apply this algorithm to obtain the equations for several examples, which come from families of Kummer surfaces over Shimura curves, as studied in our previous work. We use this to find correspondences between the parameter spaces of our families and Shimura curves.
UR - http://www.scopus.com/inward/record.url?scp=85060181258&partnerID=8YFLogxK
U2 - 10.4310/CNTP.2018.v12.n4.a5
DO - 10.4310/CNTP.2018.v12.n4.a5
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AN - SCOPUS:85060181258
SN - 1931-4523
VL - 12
SP - 829
EP - 856
JO - Communications in Number Theory and Physics
JF - Communications in Number Theory and Physics
IS - 4
ER -