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Theta functions on the classical bounded symmetric domain of type $I_{2,2}$

Theta functions on the classical bounded symmetric domain of type $I_{2,2}$

In this note, we announce a structure theorem on the graded ring of modular forms on the bounded symmetric domain of type I, with respect to the principal congruence subgroup of level (l+i).Relations between the period map of certain K3 surfaces, the hypergeometric functions and the present theorem are studied …