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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
Hyperplane Arrangement Mathematics

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Research Output 2006 2019

  • 186 Citations
  • 8 h-Index
  • 34 Article
  • 2 Conference contribution
  • 1 Paper
  • 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
2 Citations (Scopus)

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

Multiple addition, deletion and restriction theorems for hyperplane arrangements

Abe, T. & Terao, H., Jan 1 2019, In : Proceedings of the American Mathematical Society. 147, 11, p. 4835-4845 11 p.

Research output: Contribution to journalArticle

Addition Theorem
Hyperplane Arrangement
Deletion
Restriction
Arrangement

Solomon–Terao algebra of hyperplane arrangements

Abe, T., Maeno, T., Murai, S. & Numata, Y., Jan 1 2019, In : Journal of the Mathematical Society of Japan. 71, 4, p. 1027-1047 21 p.

Research output: Contribution to journalArticle

Arrangement of Hyperplanes
Algebra
Hilbert Polynomial
Sum formula
Hyperplane Arrangement

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