A note on combinatorial type and splitting invariants of plane curves
Splitting invariants are effective for distinguishing the embedded topology of plane curves. In this note, we introduce a generalization of splitting invariants, called the G-combinatorial type, for plane curves by using the modified plumbing graph defined by Hironaka [14]. We prove that the G-combi...
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| creator | Shirane, Taketo |
| description | Splitting invariants are effective for distinguishing the embedded topology
of plane curves. In this note, we introduce a generalization of splitting
invariants, called the G-combinatorial type, for plane curves by using the
modified plumbing graph defined by Hironaka [14]. We prove that the
G-combinatorial type is invariant under certain homeomorphisms based on the
arguments of Waldhausen [32, 33] and Neumann [22]. Furthermore, we distinguish
the embedded topology of quasi-triangular curves by the G-combinatorial type,
which are generalization of triangular curves studied in [4]. |
| doi_str_mv | 10.48550/arxiv.2409.07915 |
| format | Article |
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of plane curves. In this note, we introduce a generalization of splitting
invariants, called the G-combinatorial type, for plane curves by using the
modified plumbing graph defined by Hironaka [14]. We prove that the
G-combinatorial type is invariant under certain homeomorphisms based on the
arguments of Waldhausen [32, 33] and Neumann [22]. Furthermore, we distinguish
the embedded topology of quasi-triangular curves by the G-combinatorial type,
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of plane curves. In this note, we introduce a generalization of splitting
invariants, called the G-combinatorial type, for plane curves by using the
modified plumbing graph defined by Hironaka [14]. We prove that the
G-combinatorial type is invariant under certain homeomorphisms based on the
arguments of Waldhausen [32, 33] and Neumann [22]. Furthermore, we distinguish
the embedded topology of quasi-triangular curves by the G-combinatorial type,
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of plane curves. In this note, we introduce a generalization of splitting
invariants, called the G-combinatorial type, for plane curves by using the
modified plumbing graph defined by Hironaka [14]. We prove that the
G-combinatorial type is invariant under certain homeomorphisms based on the
arguments of Waldhausen [32, 33] and Neumann [22]. Furthermore, we distinguish
the embedded topology of quasi-triangular curves by the G-combinatorial type,
which are generalization of triangular curves studied in [4].</abstract><doi>10.48550/arxiv.2409.07915</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Algebraic Geometry Mathematics - Geometric Topology |
| title | A note on combinatorial type and splitting invariants of plane curves |
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