Yu-Chi Hou (侯侑期）

(Grothendieck's comment on Grothendieck-Riemann-Roch Theorem)

Publication:

Asymptotic of Bergman Kernel Bull.Inst.Math.Acad.Sin.(N.S.) Vol.17(2022), No.1, pp. 1-51

This is modified from my master thesis at NTU, supervised by Prof. Chin-Yu Hsiao. Thesis version is available at arXiv:2202.03383.Abstract: We give a new proof on the pointwise asymptotic expansion for Bergman kernel associated to k-th tensor power of a hermitian holomorphic line bundle on the points where the curvature of the line bundle is positive and satisfies local spectral gap condition. The main point is to introduce a suitable semi-classical symbol space and related symbolic calculus inspired from recent work of Hsiao and Savale. Particularly, we establish the existence of pointwise asymptotic expansion on the positive part for certain semi-positive line bundles.

Research Notes (Not Intended to Publish):

Localization on P^2

This records a partial progress on a localization calculation on Gromov-Witten invariant, which is a part of MoST Research Assistant Report, supervised by Prof. Chin-Lung Wang.

Page updated

Google Sites

Report abuse