What type of study is this?

This is a Quantitative Study study.

October 8, 2025Open Access

Uniqueness of Maximal Curve Systems on Punctured Projective Planes

Key Points

Unique maximal 1-systems exist in punctured projective planes with up to five punctures.
The uniqueness of these systems hinges on the action of the mapping class group.
Understanding loops in these planes reveals important geometrical properties.
Investigation contributes to the broader field of topology and geometric structures.

Abstract

We show that the maximal 1-system of loops in a punctured projective plane is unique up to the mapping class group action if and only if the number of punctures is at most five.

Connected Papers

Building similarity graph...

Analyzing shared references across papers

Discussion

Cite this study

Chen et al. (Wed,) studied this question.

synapsesocial.com/papers/68e6494525bc5bdb98713c27 — DOI: https://doi.org/10.48550/arxiv.2507.17142

Also consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

Authors

Xi Chen

Hunan Institute of Science and Technology

Wujie Shen

Actions

References and Citations

Connected Papers

Building similarity graph...

Analyzing shared references across papers

Uniqueness of Maximal Curve Systems on Punctured Projective Planes

Key Points

Abstract

Citation Network

Connected Papers

Discussion

Cite this study

Also consider

Authors

Actions

References and Citations

Citation Network

Connected Papers

Discussion

Also consider