Academic Journal
Invariants of upper motives
| العنوان: | Invariants of upper motives |
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| المؤلفون: | Haution, O |
| المساهمون: | Haution, O |
| بيانات النشر: | Deutsche Mathematiker Vereinigung DE |
| سنة النشر: | 2013 |
| المجموعة: | Università degli Studi di Milano-Bicocca: BOA (Bicocca Open Archive) |
| مصطلحات موضوعية: | Algebraic cobordism, Canonical dimension, Grothendieck group, Upper motive |
| الوصف: | Let H be a homology theory for algebraic varieties over a field k. To a complete k-variety X, one naturally attaches an ideal HX(k) of the coefficient ring H(k). We show that, when X is regular, this ideal depends only on the upper Chow motive of X. This generalises the classical results asserting that this ideal is a birational invariant of smooth varieties for particular choices of H, such as the Chow group. When H is the Grothendieck group of coherent sheaves, we obtain a lower bound on the canonical dimension of varieties. When H is the algebraic cobordism, we give a new proof of a theorem of Levine and Morel. Finally we discuss some splitting properties of geometrically unirational field extensions of small transcendence degree. |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | STAMPA |
| اللغة: | English |
| Relation: | info:eu-repo/semantics/altIdentifier/wos/WOS:000330718800015; volume:18; issue:2013; firstpage:1555; lastpage:1572; numberofpages:18; journal:DOCUMENTA MATHEMATICA; https://hdl.handle.net/10281/449358; info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-84918799872 |
| DOI: | 10.4171/dm/436 |
| الاتاحة: | https://hdl.handle.net/10281/449358 https://doi.org/10.4171/dm/436 |
| Rights: | info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.2A29FB8D |
| قاعدة البيانات: | BASE |
| DOI: | 10.4171/dm/436 |
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