Hilbert Modular Surface - Classification of Surfaces

Classification of Surfaces

The papers (Hirzebruch 1971), (Hirzebruch & Van der Ven 1974) and (Hirzebruch & Zagier 1977) identified their type in the classification of algebraic surfaces. Most of them are surfaces of general type, but several are rational surfaces or blown up K3 surfaces or elliptic surfaces.

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