The subject of his doctoral thesis and habilitation was the Kummer surfaces of order 4 and their relationship with hyperelliptic functions (with
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Then Tetsuji Shioda showed that the elliptic modular surface of level 4 (the universal generalized elliptic curve E(4) → X(4)) in characteristic 3 mod 4 is a K3 surface with Picard number 22, as is the Kummer surface of the product of two supersingular elliptic curves in odd characteristic.