Prüfer algebraic spaces
| Autor: | Ilya Tyomkin, Michael Temkin |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Mathematics::Commutative Algebra
General Mathematics Topological tensor product 010102 general mathematics Birational geometry 01 natural sciences Algebra Algebraic cycle Mathematics::Algebraic Geometry 0103 physical sciences Real algebraic geometry Interpolation space 010307 mathematical physics Compactification (mathematics) 0101 mathematics Algebraic number Algebraic geometry and analytic geometry Mathematics |
| Zdroj: | Mathematische Zeitschrift. 285:1283-1318 |
| ISSN: | 1432-1823 0025-5874 |
| DOI: | 10.1007/s00209-016-1748-0 |
| Popis: | This is the first in a series of two papers concerned with relative birational geometry of algebraic spaces. In this paper, we study Prufer spaces and Prufer pairs of algebraic spaces that generalize spectra of Prufer rings. As a particular case of Prufer spaces we introduce valuation algebraic spaces, and use them to establish valuative criteria of separatedness and properness that sharpen the standard criteria. In a sequel paper, we introduce a version of Riemann–Zariski spaces, and prove Nagata’s compactification theorem for algebraic spaces. |
| Databáze: | OpenAIRE |
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