Rings of Siegel-Jacobi forms of bounded relative index are not finitely generated | Vidéo | Carmin.tv

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Rings of Siegel-Jacobi forms of bounded relative index are not finitely generated

Appears in collection : Global invariants of arithmetic varieties / Invariants globaux des variétés arithmétiques

We show that the ring of Siegel-Jacobi forms of bounded ratio between weight and index is not ﬁnitely generated. Our main tool is the theory of toroidal b-divisors and their relation to convex geometry. As a byproduct of our methods, we prove a conjecture of Kramer about the representation of all Siegel-Jacobi forms as sections of certain line bundles and we recover a formula due to Tai for the asymptotic dimension of the space of Siegel-Jacobi forms of given ratio between weight and index. This is joint work with José Burgos Gil, David Holmes and Robin de Jong.

Information about the video

Date of recording 11/10/2023
Date of publication 17/11/2023
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Luca Recanzone
Format MP4

Citation data

DOI 10.24350/CIRM.V.20102003
Cite this video Botero, Ana (11/10/2023). Rings of Siegel-Jacobi forms of bounded relative index are not finitely generated. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20102003
URL https://dx.doi.org/10.24350/CIRM.V.20102003

Domain(s)

Bibliography

BOTERO, Ana María, GIL, José Ignacio Burgos, HOLMES, David, et al. Rings of Siegel-Jacobi forms of bounded relative index are not finitely generated. arXiv preprint arXiv:2203.14583, 2022. - https://arxiv.org/abs/2203.14583

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