On the Kawaguchi–Silverman conjecture for birational automorphisms of irregular varieties
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Jungkai Alfred Chen
Abstract
We study the main open parts of the Kawaguchi–Silverman conjecture, asserting that for a birational self-map f of a smooth projective variety X defined over
Dedicated to the memory of the late Professor Nessim Sibony
Funding statement: Jungkai-Alfred Chen is partially supported by NSTC 110-2123-M-002-005 and by NCTS. Hsueh-Yung Lin is partially supported by Taiwan Ministry of Education Yushan Young Scholar Fellowship (NTU-110VV006), and NSTC (110-2628-M-002-006). Keiji Oguiso is partially supported by JSPS Grant-in-Aid (A) 15H05738, JSPS Grant-in-Aid (B) 15H03611, and by NCTS Scholar Program.
Acknowledgements
We would like to express our thanks to the NCTS and the staff members there for financial support and hospitality. This joint work was initiated during the third named author’s stay at the NCTS in October 7–December 16 2021. We thank Professors Yohsuke Matsuzawa and Junyi Xie for helpful comments, as well as Professors Shu Kawaguchi, De-Qi Zhang and Doctor Long Wang for their interest in this work and discussions. We also would like to express our thanks for the referee for her/his careful reading and valuable comments.
References
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© 2025 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Weil representations of twisted loop groups of type A n (2)
- Local Birkhoff decompositions for loop groups and a finiteness result
- Uniform boundedness of oscillatory singular integrals with rational phases
- On the stabilizer of the graph of linear functions over finite fields
- Global solution and blow-up of critical heat equation with nonlocal interaction
- Locally compact groups with all dense subgroups separable
- On the Kawaguchi–Silverman conjecture for birational automorphisms of irregular varieties
- On isometry groups of gradient Ricci solitons
- Extensions of a theorem of P. Hall on indexes of maximal subgroups
- A trace formula for Hecke operators on Fuchsian groups
- Quasi-hereditary algebras with all standard modules being isomorphic to submodules of projective modules
- Computation of endo-fixed closures in free-abelian times free groups
- Non-vanishing of Maass form 𝐿-functions of cubic level at the central point
- Traces of partition Eisenstein series
- Gabor System based on the unitary dual of the Heisenberg group
- Zeros of linear combinations of Dirichlet 𝐿-functions on the critical line
- Paley inequality for the Weyl transform and its applications
Artikel in diesem Heft
- Frontmatter
- Weil representations of twisted loop groups of type A n (2)
- Local Birkhoff decompositions for loop groups and a finiteness result
- Uniform boundedness of oscillatory singular integrals with rational phases
- On the stabilizer of the graph of linear functions over finite fields
- Global solution and blow-up of critical heat equation with nonlocal interaction
- Locally compact groups with all dense subgroups separable
- On the Kawaguchi–Silverman conjecture for birational automorphisms of irregular varieties
- On isometry groups of gradient Ricci solitons
- Extensions of a theorem of P. Hall on indexes of maximal subgroups
- A trace formula for Hecke operators on Fuchsian groups
- Quasi-hereditary algebras with all standard modules being isomorphic to submodules of projective modules
- Computation of endo-fixed closures in free-abelian times free groups
- Non-vanishing of Maass form 𝐿-functions of cubic level at the central point
- Traces of partition Eisenstein series
- Gabor System based on the unitary dual of the Heisenberg group
- Zeros of linear combinations of Dirichlet 𝐿-functions on the critical line
- Paley inequality for the Weyl transform and its applications
