Research Output per year

## 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.

- 1 Similar Profiles

Arrangement
Mathematics

Arrangement of Hyperplanes
Mathematics

Multiplicity
Mathematics

Logarithmic
Mathematics

Characteristic polynomial
Mathematics

Hyperplane
Mathematics

Module
Mathematics

Hyperplane Arrangement
Mathematics

##
Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Research Output 2006 2019

### 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 journal › Article

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 journal › Article

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 journal › Article

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 journal › Article

Arrangement of Hyperplanes

Algebra

Hilbert Polynomial

Sum formula

Hyperplane Arrangement

### A basis construction of the extended Catalan and Shi arrangements of the type A_{2}

Abe, T. & Suyama, D., Jan 1 2018, In : Journal of Algebra. 493, p. 20-35 16 p.Research output: Contribution to journal › Article

Arrangement

Root System

Multiplicity

Logarithmic

Module