Valuative and geometric characterizations of Cox sheaves
| Autor: | Benjamin Bechtold |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
13A02
Algebraic properties Pure mathematics Strategy and Management media_common.quotation_subject Algebraic geometry Characterization (mathematics) Commutative Algebra (math.AC) 01 natural sciences Industrial and Manufacturing Engineering Mathematics - Algebraic Geometry 0103 physical sciences FOS: Mathematics Cox rings 0101 mathematics Algebraic Geometry (math.AG) Normality Quotient Mathematics media_common Mathematics::Commutative Algebra 13A18 Mechanical Engineering Mathematics::Rings and Algebras 010102 general mathematics Metals and Alloys graded schemes 14A20 Mathematics - Commutative Algebra 010307 mathematical physics Krull schemes |
| Zdroj: | J. Commut. Algebra 10, no. 1 (2018), 1-43 |
| ISSN: | 1939-2346 |
| DOI: | 10.1216/jca-2018-10-1-1 |
| Popis: | We give an intrinsic characterization of Cox sheaves on Krull schemes in terms of their valuative algebraic properties. We also provide a geometric characterization of their graded relative spectra in terms of good quotients of graded schemes, extending the work of Arzhantsev, Derenthal, Hausen and Laface on relative spectra of Cox sheaves on normal varieties. Moreover, we obtain an irredundant characterization of Cox rings which in turn produces a normality criterion for certain graded rings. Comment: 25 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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