An Action of the Picard Group on Generalized Euler Classes

Bingjun Li; Jianjun Jiao; Dan Yang

Simulation Tools and Techniques. 12th EAI International Conference, SIMUtools 2020, Guiyang, China, August 28-29, 2020, Proceedings, Part II

Research Article

An Action of the Picard Group on Generalized Euler Classes

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@INPROCEEDINGS{10.1007/978-3-030-72795-6_59,
    author={Bingjun Li and Jianjun Jiao and Dan Yang},
    title={An Action of the Picard Group on Generalized Euler Classes},
    proceedings={Simulation Tools and Techniques. 12th EAI International Conference, SIMUtools 2020, Guiyang, China, August 28-29, 2020, Proceedings, Part II},
    proceedings_a={SIMUTOOLS PART 2},
    year={2021},
    month={4},
    keywords={Picard group Euler classes Chow groups},
    doi={10.1007/978-3-030-72795-6_59}
}

Bingjun Li
Jianjun Jiao
Dan Yang
Year: 2021
An Action of the Picard Group on Generalized Euler Classes
SIMUTOOLS PART 2
Springer
DOI: 10.1007/978-3-030-72795-6_59

Bingjun Li¹, Jianjun Jiao¹, Dan Yang¹

1: School of Mathematics and Statistics

Abstract

In this paper, we construct an action of Picard group on the generalized Euler classes defined in Chow-Witt groups(\widetilde{CH^{d}(X,\mathscr {L})})with twisted line bundle(\mathscr {L}), which is the generalization of the Euler classes defined in Chow groups. This result gives a new method to compare the generalized Euler classes with different twisted bundle.

Keywords: Picard group Euler classes Chow groups

Published: 2021-04-26
Appears in: SpringerLink

: http://dx.doi.org/10.1007/978-3-030-72795-6_59

An Action of the Picard Group on Generalized Euler Classes

Abstract

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