Room 515, Cosmology Building, National Taiwan University + Zoom, Physical+Online Seminar
(實體+線上演講 台灣大學次震宇宙館515研討室+ Zoom)
On the Hodge Structures of Global Smoothings of Normal Crossing Varieties
Kuan-Wen Chen (Columbia University)
Abstract
Suppose we are given a one-parameter semistable degeneration of (possibly non-Kähler) compact complex manifolds such that each component of the central fiber is Kähler. Then, we provide a criterion for the cohomology of the general fiber to have Hodge decomposition in terms of the topology of the central fiber. If this is the case, we also give a formula of the Hodge index on the middle cohomology of the general fiber in terms of the invariants of the central fiber.
If time permits, we will also discuss the application of the theorem to the global smoothing of m-fold ODPs, Hashimoto-Sano’s non-Kähler Calabi-Yau threefolds, and Sano’s non- Kähler Calabi-Yau m-folds.
Link Information
Zoom ID: 892 4386 3425
Passcode: AG2875
Organizer: Hsueh-Yung Lin ( NTU)
