Inverse period mappings of $K3$ surfaces and a construction of modular forms for a lattice with the Kneser conditions

10 Sep 2020 Nagano Atsuhira

We explicitly construct modular forms on a $4$-dimensional bounded symmetric domain of type $IV$ based on the variation of the Hodge structures of $K3$ surfaces. We study the ring of our modular forms... (read more)

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  • ALGEBRAIC GEOMETRY
  • COMPLEX VARIABLES