Embedded desingularization for arithmetic surfaces – toward a parallel implementation
DOI10.1090/mcom/3624zbMath1480.14010arXiv1712.08131OpenAlexW3120199690MaRDI QIDQ4992238
Lukas Ristau, Anne Frühbis-Krüger, Bernd Schober
Publication date: 7 June 2021
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.08131
Singularities in algebraic geometry (14B05) Software, source code, etc. for problems pertaining to commutative algebra (13-04) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Singularities of surfaces or higher-dimensional varieties (14J17) Computational aspects and applications of commutative rings (13Pxx)
Related Items (1)
Uses Software
Cites Work
- A skeleton key to Abhyankar's proof of embedded resolution of characteristic P surfaces
- Techniques for the study of singularities with applications to resolution of 2-dimensional schemes
- Resolution of singularities of threefolds in mixed characteristic: case of small multiplicity
- Resolution of surface singularities. Three lectures with an appendix by H. Hironaka. Ed. by U. Orbanz
- Resolution of singularities of threefolds in positive characteristic. I: Reduction to local uniformization on Artin-Schreier and purely inseparable coverings
- Normalization of rings
- Resolution of singularities of threefolds in positive characteristic. II
- Desingularization of embedded excellent surfaces
- Desingularization of two-dimensional schemes
- Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant
- A smoothness test for higher codimensions
- Partial resolution by toroidal blow-ups
- Partial local resolution by characteristic zero methods
- Strong resolution of singularities in characteristic zero
- Parallel algorithms for normalization
- Towards massively parallel computations in algebraic geometry
- A strictly decreasing invariant for resolution of singularities in dimension two
- Resolution of singularities of an algebraic variety over a field of characteristic zero. II
- Resolution of singularities of arithmetical threefolds
- Characteristic polyhedra of singularities
- A simplified proof of desingularization and applications
- Desingularization of binomial varieties in arbitrary characteristic. Part I. A new resolution function and their properties
- DESINGULARIZATION OF BINOMIAL VARIETIES IN ARBITRARY CHARACTERISTIC. PART II: COMBINATORIAL DESINGULARIZATION ALGORITHM
- Lectures on Resolution of Singularities (AM-166)
- Desingularization of toric and binomial varieties
- A Singular Introduction to Commutative Algebra
- Resolution of singularities for 3-folds in positive characteristic
- Constructiveness of Hironaka's resolution
- Contact maximal en caractéristique positive
- Desingularization of Arithmetic Surfaces: Algorithmic Aspects
- Uniformization of Analytic Spaces
- Desingularization: Invariants and Strategy
- Resolution of singularities of an idealistic filtration in dimension 3 after Benito-Villamayor
- Simple Hironaka resolution in characteristic zero
- The Concept of a Simple Point of an Abstract Algebraic Variety
- An algorithm for computing the integral closure
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Embedded desingularization for arithmetic surfaces – toward a parallel implementation
