Zariski multiples associated with quartic curves

IF 0.4 Q4 MATHEMATICS
I. Shimada
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引用次数: 0

Abstract

. We investigate Zariski multiples of plane curves Z 1 ,...,Z N such that each Z i is a union of a smooth quartic curve, some of its bitangents, and some of its 4-tangent conics. We show that, for plane curves of this type, the deformation types are equal to the homeomorphism types, and that the number of deformation types grows as O ( d 62 ) when the degree d of the plane curves tends to infinity.
与四次曲线相关的扎里斯基倍数
. 我们研究了平面曲线z1的Zariski倍数,…, zn使得每个zi是光滑四次曲线,它的一些正切曲线,和它的一些正切曲线的并集。我们证明,对于这种类型的平面曲线,变形类型等于同胚类型,并且当平面曲线的阶数d趋于无穷大时,变形类型的数量增长为O (d 62)。
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来源期刊
CiteScore
0.90
自引率
0.00%
发文量
28
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