%0 Generic %1 xiao2018mixed %A Xiao, Jian %D 2018 %K HRR %T Mixed Hodge-Riemann bilinear relations and $m$-positivity %U http://arxiv.org/abs/1811.05865 %X Motivated by our previous work on Hodge-index type inequalities, 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 and Dinh-Nguyên. 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.

@misc{xiao2018mixed, abstract = {Motivated by our previous work on Hodge-index type inequalities, 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 and Dinh-Nguy\^{e}n. 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 K\"ahler manifolds.}, added-at = {2018-11-16T01:18:57.000+0100}, author = {Xiao, Jian}, biburl = {https://www.bibsonomy.org/bibtex/2154d3a75fabfa64390ebe6cb23f64f5c/taka3617}, description = {Mixed Hodge-Riemann bilinear relations and $m$-positivity}, interhash = {76af5c0c0ff24ce8457afa71b7ab8a52}, intrahash = {154d3a75fabfa64390ebe6cb23f64f5c}, keywords = {HRR}, note = {cite arxiv:1811.05865}, timestamp = {2018-11-16T01:18:57.000+0100}, title = {Mixed Hodge-Riemann bilinear relations and $m$-positivity}, url = {http://arxiv.org/abs/1811.05865}, year = 2018 }