Higashitani, Akihiro
- Ehrhart polynomials with negative coefficients
2013/12/26 by Hibi, Takayuki, Higashitani, Akihiro, Tsuchiya, Akiyoshi +1 · 2 citations
#Combinatorics (math.CO) #FOS: Mathematics #Primary 52B20 #Secondary 52B11
- Conic divisorial ideals of Hibi rings and their applications to non-commutative crepant resolutions
2017/02/23 by Akihiro Higashitani, Yusuke Nakajima, Higashitani, Akihiro +1 · 2 citations
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Representation Theory (math.RT)
- Algebraic study on Cameron-Walker graphs
2013/08/22 by Takayuki Hibi, Akihiro Higashitani, Hibi, Takayuki +5 · 3 citations
Computer Science · Mathematics · #05E40 #13H10 #Algebraic structures and combinatorial models #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation
- Fans and polytopes in tilting theory I: Foundations
2022/03/29 by Toshitaka Aoki, Aoki, Toshitaka, Akihiro Higashitani +7 · 3 citations
Mathematics · #Algebraic structures and combinatorial models #Advanced Combinatorial Mathematics #Advanced Topics in Algebra
- Period collapse in characteristic quasi-polynomials of hyperplane arrangements
2021/05/05 by Akihiro Higashitani, Higashitani, Akihiro, Tan Nhat Tran +3 · 2 citations
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Mathematical functions and polynomials
- The equivariant Ehrhart theory of polytopes with order-two symmetries
2022/09/01 by Clarke, Oliver, Higashitani, Akihiro, Kölbl, Max · 2 citations
#14L30 #14M25 (secondary) #20C10 #52B20 (primary) 52B05 #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)
- Counterexamples of the conjecture on roots of Ehrhart polynomials
2011/06/23 by Akihiro Higashitani, Higashitani, Akihiro · 1 citation
Mathematics · Agricultural and Biological Sciences · Chemistry · #Advanced Combinatorial Mathematics #Natural Compound Pharmacology Studies #Axial and Atropisomeric Chirality Synthesis
- Ehrhart Polynomials of Integral Simplices With Prime Volumes
2011/07/25 by Akihiro Higashitani, Higashitani, Akihiro · 1 citation
Engineering · Mathematics · #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #Mathematics and Applications #Primary:52B20 Secondary:52B12 #graph theory and CDMA systems
- Integer decomposition property of dilated polytopes
2012/11/25 by Cox, David A., Haase, Christian, Hibi, Takayuki +1 · 1 citation
#14M25 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #Primary 52B20 #Secondary 14Q15
- Fans and polytopes in tilting theory II: g-fans of rank 2
2023/01/04 by Aoki, Toshitaka, Higashitani, Akihiro, Iyama, Osamu +2 · 3 citations
#Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)
- Almost Gorenstein homogeneous rings and their h-vectors
2015/07/13 by Higashitani, Akihiro · 2 citations
#13H15 #Commutative Algebra (math.AC) #FOS: Mathematics #Primary 13H10 #Secondary 13D40
- Lattice simplices of maximal dimension with a given degree
2016/05/01 by Higashitani, Akihiro · 1 citation
#14M25 #52B20 (Primary) #94B05 (Secondary) #Combinatorics (math.CO) #FOS: Mathematics
- Universal conditions on h^*-vectors of lattice simplices
2018/12/25 by Higashitani, Akihiro · 1 citation
#Combinatorics (math.CO) #FOS: Mathematics #Primary: 52B20 #Secondary: 52B12
- Cohomological rigidity for toric Fano manifolds of small dimensions or large Picard numbers
2020/05/28 by Akihiro Higashitani, Higashitani, Akihiro, Kazuki Kurimoto +3 · 1 citation
Mathematics · #14J45 #57S15 #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Commutative Algebra (math.AC) #FOS: Mathematics #Geometric and Algebraic Topology #Primary 14M25 #Secondary 57R19
- Ehrhart quasi-polynomials and parallel translations
2023/07/16 by Higashitani, Akihiro, Murai, Satoshi, Yoshinaga, Masahiko · 1 citation
#Combinatorics (math.CO) #FOS: Mathematics
- Examples and counterexamples in Ehrhart theory
2023/07/20 by Ferroni, Luis, Higashitani, Akihiro · 1 citation
#Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #Rings and Algebras (math.RA)
- h-vectors of edge rings of odd-cycle compositions
2023/11/22 by Kieran Bhaskara, Bhaskara, Kieran, Akihiro Higashitani +3 · 1 citation
Mathematics · #05E40 Secondary #13D40 (Primary) 13P10 #13F55 #13F65 #Algebraic structures and combinatorial models #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras
- Binomial edge rings of complete bipartite graphs
2024/11/12 by Higashitani, Akihiro · 1 citation
#05E40 #13P10 #14M15 #14M25 #Commutative Algebra (math.AC) #FOS: Mathematics #Primary: 13F65 #Secondary
- Characteristic quasi-polynomials of deletions of Shi arrangements of type B and their period collapse
2024/05/30 by Akihiro Higashitani, Norihiro Nakashima, Higashitani, Akihiro +1 · 2 citations
Computer Science · Mathematics · #32S22 (Primary) #52C35 (Secondary) #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics