Masuda, Mikiya

1. Torus orbit closures in the flag variety
   2022/03/31 by Lee, Eunjeong, Masuda, Mikiya, Park, Seonjeong · 2 citations
   #14M15 #57S12 #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #Combinatorics (math.CO) #FOS: Mathematics #Primary: 14M25 #Secondary: 05A05
2. Classification of real Bott manifolds and acyclic digraphs
   2010/06/23 by Choi, Suyoung, Masuda, Mikiya, Oum, Sang-il · 1 citation
   #05C90 #14M25 #57R91 #Algebraic Topology (math.AT) #Combinatorics (math.CO) #FOS: Mathematics #Primary 37F20 #Secondary 53C25
3. The volume polynomial of regular semisimple Hessenberg varieties and the Gelfand-Zetlin polytope
   2018/12/25 by Megumi Harada, Tatsuya Horiguchi, Harada, Megumi +5 · 1 citation
   Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #Symplectic Geometry (math.SG)
4. Orbit spaces of equivariantly formal torus actions of complexity one
   2019/12/25 by Anton Ayzenberg, Ayzenberg, Anton, Mikiya Masuda +1 · 1 citation
   Mathematics · #06A07 (Primary) 55R20 #06A11 (Secondary) #18G10 #18G35 #55N25 #55N30 #55N91 #57N65 #57S25 #Advanced Combinatorial Mathematics #Algebraic Topology (math.AT) #Combinatorics (math.CO) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT)
5. 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
6. Toric orbifolds associated with partitioned weight polytopes in classical types
   2021/05/12 by Tatsuya Horiguchi, Horiguchi, Tatsuya, Mikiya Masuda +5 · 1 citation
   Mathematics · #14M25 #17B22 #52B05 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)
7. The second cohomology of regular semisimple Hessenberg varieties from GKM theory
   2022/03/22 by Anton Ayzenberg, Mikiya Masuda, Ayzenberg, Anton +3 · 1 citation
   Mathematics · #14M15 (Secondary) #57S12 (Primary) #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)
8. The cohomology rings of regular nilpotent Hessenberg varieties in Lie type A
   2015/12/30 by Abe, Hiraku, Harada, Megumi, Horiguchi, Tatsuya +1 · 2 citations
   #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #Combinatorics (math.CO) #FOS: Mathematics
9. How is a graph not like a manifold?
   2022/03/20 by Anton Ayzenberg, Mikiya Masuda, Ayzenberg, Anton +3 · 1 citation
   Computer Science · Mathematics · #06A06 (Primary) 55P91 #13F55 #13H10 #55N91 #55R20 (Secondary) #55T25 #55U10 #57R91 #57S12 #Advanced Combinatorial Mathematics #Algebraic Topology (math.AT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Topological and Geometric Data Analysis
10. Hessenberg varieties and hyperplane arrangements
    2016/11/01 by Abe, Takuro, Horiguchi, Tatsuya, Masuda, Mikiya +2 · 3 citations
    #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #Symplectic Geometry (math.SG)