Sheaf complexes associated to Bott-Chern cohomology re-examined
杨松
天津大学
时间:2021-11-18下午 15:00
地点:国家天元数学西南中心516报告厅
摘要:
Consider a compact complex manifold. Schweitzer introduced a sheaf complex associated to the Bott--Chern cohomology group with prescribed bi-degree. We present a sheaf-theoretic approach to the projective bundle formulae and blow-up formulae for the hypercohomology of this sheaf complex. This approach also applies to Deligne cohomology of compact complex manifolds. This talk is based on joint work with Xiangdong Yang.