Abstract
We consider the family of complex algebraic surfaces with Picard lattice containing the unimodular lattice . The surface admits a birational model isomorphic to a quartic hypersurface that generalizes the Inose quartic. We prove that a general member of this family admits exactly four inequivalent Jacobian elliptic fibrations and construct explicit pencils for them.
Funding Statement
A.C. acknowledges support from a UMSL Mid-Career Research Grant.
T.H. acknowledges the support from the Office of Graduate Studies at Utah State University.
A.M. acknowledges support from the Simons Foundation through grant no. 202367.
Citation
Adrian Clingher. Thomas Hill. Andreas Malmendier. "JACOBIAN ELLIPTIC FIBRATIONS ON THE GENERALIZED INOSE QUARTIC OF PICARD RANK SIXTEEN." Albanian J. Math. 17 (1) 13 - 28, 2023. https://doi.org/10.51286/albjm/1675936273
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