2023/11/16 by Chen, Chongyao · 1 citation
#14J32 #14J33 #32G20 #Algebraic Geometry (math.AG) #FOS: Mathematics
paper · doi:10.48550/arxiv.2311.10212
We give a completion of the period map associated to a variation of polarized Hodge structure arising from a 2-dimensional geometric family that has Hodge type (1,2,2,1). This is the second known example of a completion of a period map that is higher than one dimensional with non-hermitian symmetric Mumford-Tate domain. The completion technique we use is the theory of Kato-Usui spaces, while the calculation of monodromy matrices is done with the help of mirror symmetry.