Projective geometry for blueprints
| Autor: | Oliver Lorscheid, Javier López Peña |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: |
Pure mathematics
Mathematics - Number Theory General Medicine Commutative Algebra (math.AC) Mathematics - Commutative Algebra Mathematics - Algebraic Geometry Mathematics::Algebraic Geometry Blueprint Grassmannian FOS: Mathematics Projective space Number Theory (math.NT) Projective test 14N05 14G15 14T05 Algebraic Geometry (math.AG) Mathematics Projective geometry |
| Zdroj: | Comptes Rendus Mathématique. Académie des Sciences. Paris |
| Popis: | In this note, we generalize the Proj-construction from usual schemes to blue schemes. This yields the definition of projective space and projective varieties over a blueprint. In particular, it is possible to descend closed subvarieties of a projective space to a canonical F_1-model. We discuss this explicitly in case of the Grassmannian Gr(2,4). 5 pages, 1 figure |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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