Kei-ichi Watanabe

Geometry and Topology · 2000–2012

A researcher in the Science corpus: 8 papers; trusts 7 researchers and is trusted by 18 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 36 citations into it; #993 of 7,422 by trust here, #726 by citations
• Algebra and Number Theory — 25 citations into it; #310 of 2,864 by trust here, #222 by citations
• Mathematical Physics — 8 citations into it; #4,204 of 8,562 by trust here, #3,022 by citations

Whom Kei-ichi Watanabe trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. S. Takagi
2. N. Hara
3. Masaki Kashiwara
4. M. Mustaţă
5. KEN-ICHI Yoshida

Who trusts Kei-ichi Watanabe overall

1. Karl Schwede
2. Kevin Tucker
3. Craig Huneke
4. Manuel Blickle
5. M. Mustaţă
6. S. Takagi
7. Chi Li
8. Graham J. Leuschke
9. Yongwei Yao
10. Thomas Polstra

Papers from Kei-ichi Watanabe's perspective

Ordered by how strongly the researchers Kei-ichi Watanabe trusts endorse each paper. Same corpus, a different order for every researcher.

1. Multiplier ideals of monomial ideals
2. ON F-PURE THRESHOLDS
3. Explicit Birational Geometry of 3-Folds: Singularities of linear systems and 3-fold birational geometry
4. F-thresholds and Bernstein–Sato Polynomials
5. F-singularities of pairs and Inversion of Adjunction of arbitrary codimension
6. F-thresholds of hypersurfaces
7. D-Modules and Microlocal Calculus
8. AN INTRODUCTION TO THE THEORY OF LOCAL ZETA FUNCTIONS (AMS/IP Studies in Advanced Mathematics 14)
9. Homogeneous coordinates for algebraic varieties
10. Counterexample to Hilbert''s fourteenth problem for three dimensional additive groups

Their papers

• The total coordinate ring of a normal projective variety (2003) — 69 citations
• Ulrich ideals and modules† (2012) — 52 citations
• F-Thresholds, tight closure, integral closure, and multiplicity bounds (2007) — 46 citations
• F-thresholds and Bernstein–Sato Polynomials (2004) — 129 citations
• Minimal relative Hilbert-Kunz multiplicity (2004) — 60 citations
• ON F-PURE THRESHOLDS (2003) — 139 citations
• Hilbert–Kunz Multiplicity and an Inequality between Multiplicity and Colength☆ (2000) — 113 citations
• F-regular and F-pure rings vs. log terminal and log canonical singularities (2000) — 225 citations