代数几何讨论班——On the Hodge theory of Toroidal embeddings and corresponding Vanishings
报 告 人:魏传豪 (西湖大学)
时 间:2024年10月22日(星期二),下午4:00-5:00
地 点:海纳苑2幢206
摘 要:Deligne's logarithmic comparison theorem and the degeneracy of the spectural sequence of logarithmic de Rham complex gives the mixed Hodge structure of a projective smooth variety with a normal crossing boundary divisor. In this talk, we will try to build a similar theory on toroidal embeddings. In particular, we will show the E_1-degeneracy of the spectral sequence of the logarithmic de Rham complex of any toroidal triple. This gives a geometric proof of a more general version of Danilov's conjecture.
联系人:吴磊(0023042@zju.edu.cn)