On the finite generation of valuation semigroups on toric surfaces Article Swipe
Klaus Altmann
,
Christian Haase
,
Alex Küronya
,
Karin Schaller
,
Lena Walter
·
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2209.06044
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2209.06044
We provide a combinatorial criterion for the finite generation of a valuation semigroup associated with an ample divisor on a smooth toric surface and a non-toric valuation of maximal rank. As an application, we construct a lattice polytope such that none of the valuation semigroups of the associated polarized toric variety coming from one-parameter subgroups and centered at a non-toric point are finitely generated.
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- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2209.06044
- https://arxiv.org/pdf/2209.06044
- OA Status
- green
- References
- 20
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4320501820
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Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4320501820Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2209.06044Digital Object Identifier
- Title
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On the finite generation of valuation semigroups on toric surfacesWork title
- Type
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preprintOpenAlex work type
- Language
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enPrimary language
- Publication year
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2022Year of publication
- Publication date
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2022-09-13Full publication date if available
- Authors
-
Klaus Altmann, Christian Haase, Alex Küronya, Karin Schaller, Lena WalterList of authors in order
- Landing page
-
https://arxiv.org/abs/2209.06044Publisher landing page
- PDF URL
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https://arxiv.org/pdf/2209.06044Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
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https://arxiv.org/pdf/2209.06044Direct OA link when available
- Concepts
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Valuation (finance), Toric variety, Mathematics, Semigroup, Polytope, Pure mathematics, Valuation ring, Lattice (music), Divisor (algebraic geometry), Discrete valuation, Combinatorics, Physics, Finance, Acoustics, Field (mathematics), EconomicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
- References (count)
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20Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| publication_date | 2022-09-13 |
| publication_year | 2022 |
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