Abstract
In this paper we treat in details a Siegel modular variety [Formula: see text] that has a Calabi–Yau model, [Formula: see text]. We shall describe the structure of the ring of modular forms and its geometry. We shall illustrate two different methods of producing the Hodge numbers. The first uses the definition of [Formula: see text] as the quotient of another known Calabi–Yau variety [Formula: see text]. In this case we will get the Hodge numbers considering the action of the group on a crepant resolution [Formula: see text] of [Formula: see text]. The second, purely algebraic geometric, uses the equations derived from the ring of modular forms and is based on determining explicitly the Calabi–Yau model [Formula: see text] and computing the Picard group and the Euler characteristic.
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