THEORY OF INFINITELY NEAR SINGULAR POINTS
By H. Hironaka. 2003
50 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/3eb9190a64cccd602e9e89d6bbab728e31c1f6ba
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
- Orlando Villamayor
- Vincent Cossart
- Olivier Piltant
- Santiago Encinas
- Herwig Hauser
- Ana Bravo
- Steven Dale Cutkosky
- Franz-Viktor Kuhlmann
In Computational Theory and Mathematics
- Orlando Villamayor
- Vincent Cossart
- Olivier Piltant
- Santiago Encinas
- Herwig Hauser
- Ana Bravo
- Steven Dale Cutkosky
- J. Włodarczyk
In Geometry and Topology
- Orlando Villamayor
- Santiago Encinas
- Vincent Cossart
- Olivier Piltant
- Steven Dale Cutkosky
- Herwig Hauser
- Ana Bravo
- M. Temkin
Citations in the corpus
- Resolution of singularities of arithmetical threefolds (2014, background): “In higher dimensions n ≥ 4, the Resolution of Singularities conjecture for algebraic varieties over a field is considered in several recent papers [10][11][14][51][52][56][57][67] but remains open to this date.”
- Rees algebras and resolution of singularities (2007, background): “The notions of Rees algebras over smooth schemes, and that of Rees algebras closed by higher order differentials, already appear in Hironakas study on infinitely near points ([10]; [11] ), and more recently in Kawanoue’s work in [12].”
- Resolution of singularities of threefolds in positive characteristic. I.: Reduction to local uniformization on Artin–Schreier and purely inseparable coverings (2008, unknown): “Let E be the idealistic exponent (J , μ) ([26] or [27]).”