Böröczky, Károly (Ifj.) and Domokos, Mátyás and Freyer, Ansgar and Haberl, Christoph and Li, Jin (2026) Exponential valuations on lattice polygons valued at formal power series. ADVANCES IN MATHEMATICS, 498. No. 111034. ISSN 0001-8708
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Official URL: https://doi.org/10.1016/j.aim.2026.111034
Abstract
We classify valuations on lattice polygons with values in the ring of formal power series that commute with the action of the affine unimodular group. A typical example of such valuations is induced by the Laplace transform, but as it turns out there are many more. The classification is done in terms of formal power series that satisfy certain functional equations. We align our classification with the decomposition into socalled dilative components.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Modular forms; Lattice polytopes; Valuations; exponential power series; |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 21 Oct 2026 15:25 |
| Last Modified: | 21 Oct 2026 15:25 |
| URI: | https://real.mtak.hu/id/eprint/249015 |
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