S. Ishii

Geometry and Topology · 2002–2014

A researcher in the Science corpus: 5 papers; trusts 6 researchers and is trusted by 8 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 11 citations into it; #1,942 of 7,422 by trust here, #2,575 by citations
• Mathematical Physics — 10 citations into it; #3,679 of 8,562 by trust here, #4,247 by citations

Whom S. Ishii trusts overall

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

1. Jean-Paul Brasselet
2. M. Mustaţă
3. L. Ein
4. R. Lazarsfeld
5. M. Kawakita
6. J. Kollár

Who trusts S. Ishii overall

1. Tommaso de Fernex
2. Cristiano Spotti
3. J. Bobadilla
4. L. Ein
5. Song Sun
6. Willem Veys
7. María Pe Pereira
8. Enrique Artal Bartolo
9. François Loeser

Papers from S. Ishii's perspective

Ordered by how strongly the researchers S. Ishii trusts endorse each paper. Same corpus, a different order for every researcher.

1. Introduction to toric varieties
2. Jet schemes, log discrepancies and inversion of adjunction
3. Arcs, valuations and the Nash map
4. The arc space of a toric variety
5. Jet schemes and singularities
6. Singularities of pairs via jet schemes
7. Inversion of adjunction for local complete intersection varieties
8. Zariski-decomposition and abundance
9. Inversion of adjunction on log canonicity
10. Explicit Birational Geometry of 3-Folds: Singularities of linear systems and 3-fold birational geometry

Their papers

• Arcs, valuations and the Nash map (2004) — 52 citations
• Deformations of Singularities (2014) — 58 citations
• Divisorial Valuations via Arcs (2007) — 66 citations
• The arc space of a toric variety (2003) — 72 citations
• The Nash problem on arc families of singularities (2002) — 125 citations