Franz-Viktor Kuhlmann

Algebra and Number Theory · 2003–2013

A researcher in the Science corpus: 7 papers; trusts 4 researchers and is trusted by 11 researchers here, as inferred from the citation graph.

Subfields

• Algebra and Number Theory — 5 citations into it; #542 of 2,864 by trust here, #385 by citations

Whom Franz-Viktor Kuhlmann trusts overall

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

1. Steven Dale Cutkosky
2. H. Knaf
3. Olivier Piltant
4. Maria Chlouveraki
5. Marco Fontana

Who trusts Franz-Viktor Kuhlmann overall

1. Steven Dale Cutkosky
2. F. Pop
3. Vincent Cossart
4. H. Knaf
5. L. Bary‐Soroker
6. Kiran S. Kedlaya
7. Olivier Piltant
8. M. Temkin
9. Arno Fehm
10. B. Teissier

Papers from Franz-Viktor Kuhlmann's perspective

Ordered by how strongly the researchers Franz-Viktor Kuhlmann trusts endorse each paper. Same corpus, a different order for every researcher.

1. Ramification of valuations
2. Value groups, residue fields, and bad places of rational function fields
3. Places of algebraic function fields in arbitrary characteristic
4. Commutative Algebra: Noetherian and non-Noetherian Perspectives
5. Simple Hironaka resolution in characteristic zero
6. Reduction of the singularities of codimension one singular foliations in dimension three
7. Uniform approximation of Abhyankar valuation ideals in smooth function fields
8. Algebraic Geometry (Wiley Encyclopedia of Computer Science and Engineering)
9. Differentiability of volumes of divisors and a problem of Teissier
10. Strong resolution of singularities in characteristic zero

Their papers

• Abhyankar places admit local uniformization in any characteristic (2003) — 91 citations
• Every place admits local uniformization in a finite extension of the function field (2007) — 51 citations
• The algebra and model theory of tame valued fields (2013) — 77 citations
• Elimination of ramification I: The generalized stability theorem (2010) — 46 citations
• Valuation Theoretic and Model Theoretic Aspects of Local Uniformization (2010) — 87 citations
• Value groups, residue fields, and bad places of rational function fields (2004) — 98 citations
• Places of algebraic function fields in arbitrary characteristic (2004) — 50 citations