The Stokes groupoids
Autor: | Brent Pym, Songhao Li, Marco Gualtieri |
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Rok vydání: | 2015 |
Předmět: |
Pure mathematics
Applied Mathematics General Mathematics Linear ordinary differential equation 010102 general mathematics 01 natural sciences Mathematics - Algebraic Geometry Mathematics - Classical Analysis and ODEs 34M35 22A22 35Q15 34M25 Mathematics::Category Theory 0103 physical sciences Classical Analysis and ODEs (math.CA) FOS: Mathematics Gravitational singularity 010307 mathematical physics 0101 mathematics Construct (philosophy) Algebraic Geometry (math.AG) Mathematics |
Zdroj: | Journal für die reine und angewandte Mathematik (Crelles Journal). 2018:81-119 |
ISSN: | 1435-5345 0075-4102 |
DOI: | 10.1515/crelle-2015-0057 |
Popis: | We construct and describe a family of groupoids over complex curves which serve as the universal domains of definition for solutions to linear ordinary differential equations with singularities. As a consequence, we obtain a direct, functorial method for resumming formal solutions to such equations. Comment: 35 pages |
Databáze: | OpenAIRE |
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