Ramification of valuations
By Steven Dale Cutkosky, Olivier Piltant. 2004
54 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/be231aa265d069edc2e9b25634787aab6c5036f3
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
- Steven Dale Cutkosky
- Franz-Viktor Kuhlmann
- Vincent Cossart
- Olivier Piltant
- Shreeram S. Abhyankar
- C. Birkar
- Christopher D. Hacon
- Chi Li
In Computational Theory and Mathematics
- Franz-Viktor Kuhlmann
- Vincent Cossart
- Olivier Piltant
- Steven Dale Cutkosky
- Chi Li
- Kiumars Kaveh
- Askold Khovanskii
In Geometry and Topology
- Steven Dale Cutkosky
- Vincent Cossart
- Franz-Viktor Kuhlmann
- Olivier Piltant
- M. Temkin
- Christopher D. Hacon
- Shreeram S. Abhyankar
- C. Birkar
Citations in the corpus
- Value groups, residue fields, and bad places of rational function fields (2004, methodology): “One of the examples we shall construct for the proof of the above theorem is essentially the same as in Section 7 of [ CP ], but we use a dierent and more direct approach (while the construction in [CP] is more intricate, since it serves an additional purpose).”
- Resolution of Singularities (2004, background): “Then the Puiseux series (2.5) of Section 2.1 determines an inclusion (2.7) R = K[[x, y]]/(f(x, y)) → K[[t]]”
- RESOLUTION OF SINGULARITIES OF THREEFOLDS IN POSITIVE CHARACTERISTIC II (2008, background): “See [1] theorem 4.8 for an armative answer in dimension two and [ 19 ], [39] for refined statements.”
- Resolution of singularities of threefolds in positive characteristic. I.: Reduction to local uniformization on Artin–Schreier and purely inseparable coverings (2008, unknown): “8 for an affirmative answer in dimension two and [19], [39] for refined statements.”