A Volume Maximizing Canonical Surface in 3-space I. C. Bauer and F. Catanese
نویسندگان
چکیده
At the onset of surface theory surfaces in 3-space, and especially canonical surfaces in 3-space, occupied a central role. In particular, this study led to the famous Noether inequality K ≥ 2pg − 4, while Castelnuovo observed that if the canonical map of a minimal smooth surface S is birational (obviously then pg ≥ 4) the inequality K ≥ 3pg − 7 must hold true. These are the lower bounds for surface geography, but upper bounds played a decisive role in the investigations of the last 30 years, leading to the socalled Bogomolov-Miyaoka-Yau inequality
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