arXiv subjects

Mingchen Xia

Publications and source records attributed to Mingchen Xia.

20 records · Page 2Linked to original sources

arXiv2019

Integration by parts formula for non-pluripolar product

In this paper, we prove the integration by parts formula for the non-pluripolar product on a compact Kähler manifold. Our result generalizes the special case of potentials with small unbounded loci proved in [BEGZ10].

math.DG↗

arXiv2018

Deligne-Riemann-Roch Theorems I. Uniqueness of Deligne Pairings and Degree $1$ Part of Deligne-Riemann-Roch Isomorphisms

This is the first of a series of papers. Our final goal is to establish Deligne-Riemann-Roch isomorphisms in various settings. In this paper, we establish a uniqueness theorem for Deligne pairings and prove the degree $1$ part of the Deligne-Riemann-Roch theorem.

math.AG↗