Geometry Seminar

Bott-Chern cohomology of blowing-up manifolds

Xiangdong Yang, Cornell University

Monday, December 4th, 2017
2:00 PM - 3:00 PM
Hylan 1106A

From the bimeromorphic geometry point of view, we prove a blow-up formula for Bott-Chern cohomology of compact complex manifolds. As an application, we show that for compact complex threefolds the non-K"{a}hlerness degrees, introduced by Angella-Tomassini [Invent. Math. \textbf{192} (2013) 71-81], are bimeromorphic invariants. Consequently, the $\partial\overline{\partial}$-Lemma is a bimeromorphic invariant of compact complex threefolds. This is a joint work with Song Yang in Tianjin University.

Event contact: yzeng15 at ur dot rochester dot edu