Takayama, Nobuki

1. An algorithm for de Rham cohomology groups of the complement of an affine variety via D-module computation
   1998/01/26 by Toshinori Oaku, Toshinori Ôaku, Nobuki Takayama +2 · 1 citation
   Computer Science · Mathematics · #14F40 #14Q99 #55N30 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #math.AG #msc:14F40 #msc:14Q99 #msc:55N30
2. Pfaffian Systems of A-Hypergeometric Systems II --- Holonomic Gradient Method
   2015/05/12 by Katsuyoshi Ohara, Nobuki Takayama, Ohara, Katsuyoshi +1 · 2 citations
   Computer Science · Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Computer and information sciences #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Polynomial and algebraic computation #Symbolic Computation (cs.SC) #Tensor decomposition and applications
3. Restrictions of Pfaffian Systems for Feynman Integrals
   2023/05/02 by Chestnov, Vsevolod, Matsubara-Heo, Saiei J., Munch, Henrik J. +1 · 3 citations
   #FOS: Physical sciences #High Energy Physics - Theory (hep-th)
4. An algorithm of computing cohomology intersection number of hypergeometric integrals
   2019/04/02 by Matsubara-Heo, Saiei-Jaeyeong, Takayama, Nobuki · 1 citation
   #Algebraic Geometry (math.AG) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics
5. Algorithms for D-modules --- restriction, tensor product, localization, and local cohomology groups
   1998/05/02 by Toshinori Oaku, Nobuki Takayama, Oaku, Toshinori +1 · 1 citation
   Mathematics · #14F40 #14Q99 #55N30 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14F40 #msc:14Q99 #msc:55N30
6. Differential Space of Feynman Integrals: Annihilators and D-module
   2025/06/12 by Vsevolod Chestnov, Chestnov, Vsevolod, Wojciech Flieger +9 · 5 citations
   Computer Science · Mathematics · #Algebraic and Geometric Analysis #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Polynomial and algebraic computation
7. Local Gröbner fan: polyhedral and computational approach
   2004/12/02 by Rouchdi Bahloul, Nobuki Takayama, Bahloul, Rouchdi +1 · 1 citation
   Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation
8. Pfaffian Systems of A-Hypergeometric Equations I: Bases of Twisted Cohomology Groups
   2012/12/25 by Takayuki Hibi, Kenta Nishiyama, Hibi, Takayuki +3 · 1 citation
   Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #Commutative Algebra and Its Applications #FOS: Computer and information sciences #FOS: Mathematics #Polynomial and algebraic computation #Symbolic Computation (cs.SC)