Open AccessThe Orbibundle Miyaoka–Yau–Sakai Inequality and an Effective Bogomolov–McQuillan Theorem
Author(s) -
Yoichi Miyaoka
Publication year - 2008
Publication title -
publications of the research institute for mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.786
H-Index - 39
eISSN - 1663-4926
pISSN - 0034-5318
DOI - 10.2977/prims/1210167331
Subject(s) - mathematics , inequality , pure mathematics , mathematical economics , mathematical analysis
Let X be a minimal projective surface of general type defined over the complex numbers and let C ⊂ X be an irreducible curve of geometric genus g. Given a rational number α ∈ [0, 1], we construct an orbibundle ˜
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