Kyushu Journal of Mathematics
Online ISSN : 1883-2032
Print ISSN : 1340-6116
ISSN-L : 1340-6116
APPARENT CONTOURS WITH MINIMAL NUMBER OF SINGULARITIES
Takahiro YAMAMOTO
著者情報
キーワード: stable map, cusp, node, genus, mapping degree
ジャーナル フリー

2009 年 64 巻 1 号 p. 1-16

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抄録
For a stable map φ: MS2 of a closed and connected surface into the sphere, let c(φ), i(φ) and n(φ) denote the numbers of cusps, fold curve components and nodes respectively. In this paper, in a given homotopy class, we will determine the minimal triples (c, i, n), (n, c, i) and (i, n, c) with respect to the lexicographic order.
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© Faculty of Mathematics, Kyushu University
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