Skip to content
DraconiticResearch
Search Sources API
203,203 studies31 sourcesUpdated 53 min ago
PreprintarXiv licencearXiv

The Beilinson--Bloch heights of generalized Ceresa cycles

  • Kaiyuan Gu
Open at sourcePDFDOICite

Abstract

We compute the Beilinson--Bloch height of the generalized Ceresa cycle Ce(V)=1/2(V−[−1]*V) for any cycle V of pure dimension d on an abelian variety A, in terms of an arithmetic intersection number of a certain adelic line bundle. As an application, we prove that this height is given by an adelic line bundle over algebraic families.

Related

  1. Heights of small CM cycles on Unitary Shimura Varieties
    Ziqi Guo
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  2. Generalized short monochromatic odd cycles
    Sammy Luo, Zixuan Xu
    arXivPreprintCC BY 4.0Full textCombinatorics & discrete mathematicsarXiv
  3. Generalized Chromatic Polynomials of Cycles and uni-cyclic Graphs
    Dipnit Biswas, R. Venkatesh
    arXivPreprintCC BY 4.0Full textCombinatorics & discrete mathematicsarXiv
  4. Extremal hypergraphs without generalized 4-cycles
    Hao Huang, Jie Ma, Tianchi Yang
    arXivPreprintarXiv licenceFull textCombinatorics & discrete mathematicsarXiv
  5. Generalized Turán problems for shorter even cycles
    Zhen Liu, Chuanshu Wu
    arXivPreprintarXiv licenceFull textCombinatorics & discrete mathematicsarXiv

Cite

BibTeXRIS
BibTeX
@misc{gu2026beilinsonbloch,
  title = {{The Beilinson--Bloch heights of generalized Ceresa cycles}},
  author = {Kaiyuan Gu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2609.33223},
  eprint = {2609.33223},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.33223},
}
RIS
TY  - UNPB
TI  - The Beilinson--Bloch heights of generalized Ceresa cycles
AU  - Kaiyuan Gu
PY  - 2026
DA  - 2026/10/02
PB  - arXiv
DO  - 10.48550/arxiv.2609.33223
UR  - https://arxiv.org/abs/2609.33223
AB  - We compute the Beilinson--Bloch height of the generalized Ceresa cycle Ce(V)=1/2(V−[−1]_*V) for any cycle V of pure dimension d on an abelian variety A, in terms of an arithmetic intersection number of a certain adelic line bundle. As an application, we prove that this height is given by an adelic line bundle over algebraic families.
ER  -