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.
A Series of Modern Surveys in Mathematics [Re- sults in Mathematics and Related Areas
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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.