Hirotachi Abo

Computational Mathematics · 2006–2009

A researcher in the Science corpus: 3 papers; trusts 3 researchers and is trusted by 2 researchers here, as inferred from the citation graph.

Subfields

• Computational Mathematics — 12 citations into it; #467 of 612 by trust here, #332 by citations
• Computational Theory and Mathematics — 10 citations into it; #9,496 of 12,182 by trust here, #5,954 by citations
• Geometry and Topology — 10 citations into it

Whom Hirotachi Abo trusts overall

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

1. Giorgio Ottaviani
2. Maria Chiara Brambilla
3. M. Catalisano
4. C. Ciliberto
5. Luca Chiantini
6. A. V. Geramita
7. J. M. Landsberg
8. Mariano Gasca

Who trusts Hirotachi Abo overall

1. Pierre Comon
2. Alessandra Bernardi
3. Giorgio Ottaviani
4. Enrico Carlini
5. Luca Chiantini
6. M. Catalisano
7. Jaroslaw Buczy'nski

Papers from Hirotachi Abo's perspective

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

1. Induction for secant varieties of Segre varieties
2. Geometric Aspects of Polynomial Interpolation in More Variables and of Waring’s Problem
3. On the Alexander–Hirschowitz theorem
4. An Invariant Regarding Waring’s Problem for Cubic Polynomials (Nagoya mathematical journal)
5. Polynomial invariants of four qubits
6. On the Concept of k‐Secant Order of a Variety
7. Weakly defective varieties
8. Symmetric Tensors and Symmetric Tensor Rank (SIAM Journal on Matrix Analysis and Applications)
9. Equations for secant varieties of Veronese and other varieties
10. Power Sums, Gorenstein Algebras, and Determinantal Loci

Their papers

• Induction for secant varieties of Segre varieties (2006) — 172 citations
• On the dimensions of secant varieties of Segre-Veronese varieties (2009) — 58 citations
• Non-defectivity of Grassmannians of planes (2009) — 47 citations