Moduli spaces of rational graphically stable curves

Abstract We use a graph to define a new stability condition for algebraic moduli spaces of rational curves. We characterise when the tropical compactification of the moduli space agrees with the theory of geometric tropicalisation. The characterisation statement occurs only when the graph is complete multipartite.

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Publication Details

Journal
Mathematical Proceedings of the Cambridge Philosophical Society
Published
2025-08-04
DOI
https://doi.org/10.1017/s0305004125101370
Primary Topic
Polynomial and algebraic computation
Type
article
Field-Weighted Citation Impact
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article

Moduli spaces of rational graphically stable curves

Andy Fry
Mathematical Proceedings of the Cambridge Philosophical Society
Polynomial and algebraic computation
article

Moduli spaces of rational graphically stable curves

Andy Fry
article en

Abstract

Abstract We use a graph to define a new stability condition for algebraic moduli spaces of rational curves. We characterise when the tropical compactification of the moduli space agrees with the theory of geometric tropicalisation. The characterisation statement occurs only when the graph is complete multipartite.

Mathematical Proceedings of the Cambridge Philosophical SocietyVol. 179(3)
Lewis & Clark College (US)
Openalex Percentile: Top 100%
Polynomial and algebraic computation
DOIOpen Access PDFOpenAlex
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Moduli spaces of rational graphically stable curves — Andy Fry · Mathematical Proceedings of the Cambridge Philosophical Society (2025) | TGRS Research Map | TGRS