Back to Algebraic Geometry Seminar: Fall 2018
Algebraic Geometry Seminar
Date: Tuesday, Nov 27, 2018
Time: 3:30PM - 4:30PM
Location: LCB 222
Ziwen Zhu
University of Utah
Title |
Higher Codimensional Alpha Invariants and Characterization of Projective Spaces |
Abstract |
Recent work of Kento Fujita, Yuji Odaka and Chen Jiang shows that among K-semistable Fano manifolds, the projective space can be characterized in terms of either the alpha invariant or the volume. In this talk, I will generalize the definition of alpha invariant to arbitrary codimension, and show that we can characterize projective spaces among all K-semistable Fano manifolds in terms of higher codimensional alpha invariants. This result also demonstrates the relation between alpha invariants and volumes in the characterization problem of projective spaces among K-semistable Fano manifolds. |
Algebraic Geometry