On Chern ratios for surfaces with ample cotangent bundle

Details On Chern ratios for surfaces with ample cotangent bundle On Chern ratios for surfaces with ample cotangent bundle

2005-08-05

arxiv.org/abs/math/0508109v2

Matematiche (Catania), vol. LXI, no. 1 (2006), 143--156

Mathematics

Algebraic Geometry

10 pages, corrected typos, updated references

Scientific paper

In this paper we study the problem of density in (1,3] for the Chern ratio of
surfaces with ample cotangent bundle. In particular we prove density in (1,2)
by constructing a family of complete intersection surfaces in a product of
varieties with big cotangent bundle. We also analyse the case of complete
intersections in a product of curves of genus at least 2.

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