Kei-ichi Watanabe
- F-regular and F-pure rings vs. log terminal and log canonical singularities
2000/02/08 by Nobuo Hara, Kei-ichi Watanabe, Hara, Nobuo +1 · 8 citations
Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #math.AC #math.AG #msc:13A35 #msc:14B05
- On F-pure thresholds
2003/12/29 by Shunsuke Takagi, Takagi, Shunsuke, Kei-ichi Watanabe +1 · 7 citations
Computer Science · Mathematics · #13A35 #14B05 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #math.AC #math.AG #msc:13A35 #msc:14B05
- Hilbert-Kunz multiplicity of three-dimensional local rings
2003/07/22 by Kei-ichi Watanabe, Ken-ichi Yoshida, Watanabe, Kei-ichi +1 · 4 citations
Computer Science · Mathematics · #13H05 #13H10 #13H15 #Advanced Algebra and Logic #Advanced Topics in Algebra #Commutative Algebra (math.AC) #FOS: Mathematics #Primary 13D40 Secondary 13A35 #Rings, Modules, and Algebras #math.AC #msc:13A35 #msc:13D40 #msc:13H05 #msc:13H10 #msc:13H15
- F-thresholds, tight closure, integral closure, and multiplicity bounds
2007/08/17 by Craig Huneke, Mircea Mustaţă, Huneke, Craig +5 · 2 citations
Mathematics · #13A35 (Primary) #13B22 #13H15 #14B05 (Secondary) #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Graph theory and applications
- Ulrich ideals and modules
2012/06/14 by Shirô Gotô, Kazuho Ozeki, Goto, Shiro +7 · 3 citations
Computer Science · Mathematics · #13A30 #13D02 #13H10 #13H15 #16G60 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Representation Theory (math.RT) #Rings, Modules, and Algebras
- Good ideals and pg-ideals in two-dimensional normal singularities
2014/07/07 by Tomohiro Okuma, Kei-ichi Watanabe, Okuma, Tomohiro +3 · 5 citations
Mathematics · #13A35 (Primary) #14B05 #14J17 (Secondary) #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras
- Rees algebras and pg-ideals in a two-dimensional normal local domain
2015/11/03 by Tomohiro Okuma, Kei-ichi Watanabe, Okuma, Tomohiro +3 · 6 citations
Mathematics · Computer Science · #Commutative Algebra and Its Applications #Algebraic Geometry and Number Theory #Polynomial and algebraic computation
- When does the subadditivity theorem for multiplier ideals hold?
2002/12/25 by Shunsuke Takagi, Kei-ichi Watanabe, Takagi, Shunsuke +1 · 1 citation
Mathematics · #13B22 #14J17 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.AG #msc:13B22 #msc:14J17
- Multigraded rings, diagonal subalgebras, and rational singularities
2009/01/06 by Kazuhiko Kurano, Eiichi Sato, Kurano, Kazuhiko +5 · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Algebraic structures and combinatorial models
- Ulrich ideals and modules over two-dimensional rational singularities
2013/07/08 by Shirô Gotô, Kazuho Ozeki, Goto, Shiro +7 · 2 citations
Mathematics · Computer Science · #Commutative Algebra and Its Applications #Polynomial and algebraic computation #Algebraic structures and combinatorial models
- Some computations of generalized Hilbert-Kunz function and multiplicity
2015/03/03 by Hailong Dao, Dao, Hailong, Kei-ichi Watanabe +1 · 1 citation
Mathematics · #13H10 #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Primary: 13A35 #Secondary: 13D07
- Minimal Hilbert-Kunz multiplicity
2003/03/12 by Kei-ichi Watanabe, Watanabe, Kei-ichi, Ken-ichi Yoshida +1 · 1 citation
Mathematics · #13A35 #13H15 #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras #math.AC #msc:13A35 #msc:13H15