Work

Refined Chern characteristic classes of blow-ups

Year: 2026

Type: article

Abstract: We prove a blow-up formula for refined Chern characteristic classes of compact complex manifolds. To this end, we establish a version of Riemann–Roch without denominators for the refined Chern characteristic classes. In particular, as an application, we study the behavior of the refined Chern characteristic classes of the Iwasawa manifold under a blow-up transformation.

Source: Forum Mathematicum

DOI: 10.1515/forum-2026-0042

Authors: Xiaojun Wu, Song Yang, Xiangdong Yang

Institutions: Université Côte d'Azur, Laboratoire Jean-Alexandre Dieudonné, Tianjin University, Lanzhou University

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

OpenAlex ID: W4403622872

FWCI:

Cites: 47

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Related to: 10