Ignacio Luengo

Geometry and Topology · 2002–2004

A researcher in the Science corpus: 4 papers; trusts 5 researchers and is trusted by 5 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 9 citations into it; #4,589 of 7,422 by trust here, #4,440 by citations
• Mathematical Physics — 6 citations into it; #7,015 of 8,562 by trust here, #6,178 by citations
• Algebra and Number Theory — 5 citations into it; #1,712 of 2,864 by trust here, #1,879 by citations

Whom Ignacio Luengo trusts overall

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

1. L. Goettsche
2. Sabir M. Gusein-Zade
3. Jan Denef
4. M. Kapranov

Who trusts Ignacio Luengo overall

1. K. Behrend
2. Sabir M. Gusein-Zade

Papers from Ignacio Luengo's perspective

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

1. Geometry on Arc Spaces of Algebraic Varieties
2. The Alexander polynomial of a plane curve singularity via the ring of functions on it
3. A power structure over the Grothendieck ring of varieties
4. The Nash problem on arc families of singularities
5. Newton polyhedra and Igusa's local zeta function
6. The cup product of the Hilbert scheme for K3 surfaces
7. Symmetric groups and the cup product on the cohomology of Hilbert schemes
8. The elliptic curve in the S-duality theory and Eisenstein series for Kac-Moody groups
9. Vertex algebras and the cohomology ring structure of Hilbert schemes of points on surfaces
10. Sur l'anneau de cohomologie du schéma de Hilbert de ?

Their papers

• A power structure over the Grothendieck ring of varieties (2004) — 108 citations
• Power structure over the Grothendieck ring of varieties and generating series of Hilbert schemes of points (2004) — 64 citations
• Quasi-ordinary Power Series and Their Zeta Functions (2003) — 62 citations
• Monodromy conjecture for some surface singularities (2002) — 56 citations