Rings of Siegel-Jacobi forms of bounded relative index are not finitely generated
Botero AM, Gil JIB, Holmes D, de Jong R (2023)
Duke Math. J.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Autor*in
Botero, Ana MariaUniBi;
Gil, José Ignacio Burgos;
Holmes, David;
de Jong, Robin
Einrichtung
Abstract / Bemerkung
We show that the ring of Siegel--Jacobi forms of fixed degree and of
fixed or 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.
Erscheinungsjahr
2023
Zeitschriftentitel
Duke Math. J.
Urheberrecht / Lizenzen
Page URI
https://pub.uni-bielefeld.de/record/2979492
Zitieren
Botero AM, Gil JIB, Holmes D, de Jong R. Rings of Siegel-Jacobi forms of bounded relative index are not finitely generated. Duke Math. J. 2023.
Botero, A. M., Gil, J. I. B., Holmes, D., & de Jong, R. (2023). Rings of Siegel-Jacobi forms of bounded relative index are not finitely generated. Duke Math. J.. https://doi.org/10.48550/arXiv.2203.14583
Botero, Ana Maria, Gil, José Ignacio Burgos, Holmes, David, and de Jong, Robin. 2023. “Rings of Siegel-Jacobi forms of bounded relative index are not finitely generated”. Duke Math. J.
Botero, A. M., Gil, J. I. B., Holmes, D., and de Jong, R. (2023). Rings of Siegel-Jacobi forms of bounded relative index are not finitely generated. Duke Math. J.
Botero, A.M., et al., 2023. Rings of Siegel-Jacobi forms of bounded relative index are not finitely generated. Duke Math. J.
A.M. Botero, et al., “Rings of Siegel-Jacobi forms of bounded relative index are not finitely generated”, Duke Math. J., 2023.
Botero, A.M., Gil, J.I.B., Holmes, D., de Jong, R.: Rings of Siegel-Jacobi forms of bounded relative index are not finitely generated. Duke Math. J. (2023).
Botero, Ana Maria, Gil, José Ignacio Burgos, Holmes, David, and de Jong, Robin. “Rings of Siegel-Jacobi forms of bounded relative index are not finitely generated”. Duke Math. J. (2023).
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