Defines generalized Hodge-Riemann and Bogomolov pairs of cohomology classes, conjectures the former imply the latter, proves cases, and obtains new boundedness theorems for semistable sheaves.
Blaine Lawson, Jr., An intrinsic characterization of Kähler man- ifolds, Invent
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Generalized Bogomolov Inequalities
Defines generalized Hodge-Riemann and Bogomolov pairs of cohomology classes, conjectures the former imply the latter, proves cases, and obtains new boundedness theorems for semistable sheaves.