Construction of triangulated categories of motives using the localization property
نویسندگان
چکیده
Using the localization property, we construct triangulated categories of motives over quasi-projective $T$-schemes for any coefficient where $T$ is a noetherian separated scheme, and prove Grothendieck six operations formalism. We also integral étale realization motives.
منابع مشابه
Localization for Triangulated Categories
Contents 1. Introduction 1 2. Categories of fractions and localization functors 3 3. Calculus of fractions 9 4. Localization for triangulated categories 13 5. Localization via Brown representatbility 23 6. Well generated triangulated categories 31 7. Localization for well generated categories 38 8. Epilogue: Beyond well-generatedness 46 Appendix A. The abelianization of a triangulated category ...
متن کاملLocalization Theory for Triangulated Categories
Contents 1. Introduction 1 2. Categories of fractions and localization functors 3 3. Calculus of fractions 9 4. Localization for triangulated categories 14 5. Localization via Brown representability 24 6. Well generated triangulated categories 31 7. Localization for well generated categories 39 8. Epilogue: Beyond well generatedness 47 Appendix A. The abelianization of a triangulated category 4...
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ژورنال
عنوان ژورنال: Kodai Mathematical Journal
سال: 2021
ISSN: ['0386-5991', '1881-5472']
DOI: https://doi.org/10.2996/kmj44201