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Motivated by our previous work on Hodge-index type theorems, we give a form of mixed Hodge-Riemann bilinear relation by using the notion of m -positivity, whose proof is an adaptation… Click to show full abstract
Motivated by our previous work on Hodge-index type theorems, we give a form of mixed Hodge-Riemann bilinear relation by using the notion of m -positivity, whose proof is an adaptation of the works of Timorin (1998) and Dinh and Nguyên (2006). This mixed Hodge-Riemann bilinear relation holds with respect to mixed polarizations in which some satisfy particular positivity condition, but could be degenerate along some directions. In particular, it applies to fibrations of compact Kähler manifolds.
Keywords:
positivity;
mixed hodge;
hodge riemann;
riemann bilinear;
hodge
Journal Title: Science China Mathematics
Year Published: 2018
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Journal Title: Science China Mathematics
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!