Splitting types of bundles of logarithmic vector fields along plane curves

Takuro Abe, Alexandru Dimca

研究成果: Contribution to journalArticle査読

15 被引用数 (Scopus)

抄録

We give a formula relating the total Tjurina number and the generic splitting type of the bundle of logarithmic vector fields associated to a reduced plane curve. By using it, we give a characterization of nearly free curves in terms of splitting types. Several applications to free and nearly free arrangements of lines are also given, in particular a proof of a form of Terao's Conjecture for arrangements having a line with at most four intersection points.

本文言語英語
論文番号1850055
ジャーナルInternational Journal of Mathematics
29
8
DOI
出版ステータス出版済み - 7 1 2018

All Science Journal Classification (ASJC) codes

  • 数学 (全般)

フィンガープリント

「Splitting types of bundles of logarithmic vector fields along plane curves」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル