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Fingerprint Dive into the research topics where Takuro Abe is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

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Arrangement Mathematics
Arrangement of Hyperplanes Mathematics
Multiplicity Mathematics
Logarithmic Mathematics
Characteristic polynomial Mathematics
Hyperplane Mathematics
Module Mathematics
Filtration Mathematics

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Research Output 2006 2019

  • 158 Citations
  • 7 h-Index
  • 32 Article
  • 3 Conference contribution
  • 1 Comment/debate

Deletion theorem and combinatorics of hyperplane arrangements

Abe, T., Feb 8 2019, In : Mathematische Annalen. 373, 1-2, p. 581-595 15 p.

Research output: Contribution to journalArticle

Arrangement of Hyperplanes
Combinatorics
Deletion
Arrangement
Theorem

Hessenberg varieties and hyperplane arrangements

Abe, T., Horiguchi, T., Masuda, M., Murai, S. & Sato, T., Jan 1 2019, (Accepted/In press) In : Journal fur die Reine und Angewandte Mathematik.

Research output: Contribution to journalArticle

Hyperplane Arrangement
Si
Algebra
Polynomials
Semisimple

A basis construction of the extended Catalan and Shi arrangements of the type A2

Abe, T. & Suyama, D., Jan 1 2018, In : Journal of Algebra. 493, p. 20-35 16 p.

Research output: Contribution to journalArticle

Arrangement
Root System
Multiplicity
Logarithmic
Module

Heavy hyperplanes in multiarrangements and their freeness

Abe, T. & Kühne, L., Dec 1 2018, In : Journal of Algebraic Combinatorics. 48, 4, p. 581-606 26 p.

Research output: Contribution to journalArticle

Hyperplane
Arrangement
Generalise
Restriction
Arbitrary
5 Citations (Scopus)

Splitting types of bundles of logarithmic vector fields along plane curves

Abe, T. & Dimca, A., Jul 1 2018, In : International Journal of Mathematics. 29, 8, 1850055.

Research output: Contribution to journalArticle

Plane Curve
Arrangement
Bundle
Vector Field
Logarithmic