Exterior Tensor Product of Perverse Sheaves
Under certain assumptions, we prove that the Deligne tensor product of the categories of constructible perverse sheaves on pseudomanifolds X and Y is the category of constructible perverse sheaves on X×Y. The functor of the exterior Deligne tensor product is identified with the exterior geometric te...
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| Datum: | 2001 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
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Institute of Mathematics, NAS of Ukraine
2001
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4254 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510385454448640 |
|---|---|
| author | Lyubashenko, V. V. Любашенко, В. В. |
| author_facet | Lyubashenko, V. V. Любашенко, В. В. |
| author_sort | Lyubashenko, V. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:25:15Z |
| description | Under certain assumptions, we prove that the Deligne tensor product of the categories of constructible perverse sheaves on pseudomanifolds X and Y is the category of constructible perverse sheaves on X×Y. The functor of the exterior Deligne tensor product is identified with the exterior geometric tensor product. |
| first_indexed | 2026-03-24T02:56:09Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4254 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:56:09Z |
| publishDate | 2001 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/79/89a008bb896977069a16878bb29ac279.pdf |
| spelling | umjimathkievua-article-42542020-03-18T20:25:15Z Exterior Tensor Product of Perverse Sheaves Зовнішній тензорний добуток збочених в'язок Lyubashenko, V. V. Любашенко, В. В. Under certain assumptions, we prove that the Deligne tensor product of the categories of constructible perverse sheaves on pseudomanifolds X and Y is the category of constructible perverse sheaves on X×Y. The functor of the exterior Deligne tensor product is identified with the exterior geometric tensor product. При деяких припущеннях доведено, що тензорний добуток Деліня категорій конструктивних збочених в'язок на псевдомноговидах X та Y є категорією конструктивних збочених в'язок на X×Y. Функтор зовнішнього тензорного добутку Деліня ототожнюється із зовнішнім геометричним тензорним добутком. Institute of Mathematics, NAS of Ukraine 2001-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4254 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 3 (2001); 311-322 Український математичний журнал; Том 53 № 3 (2001); 311-322 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4254/5212 https://umj.imath.kiev.ua/index.php/umj/article/view/4254/5213 Copyright (c) 2001 Lyubashenko V. V. |
| spellingShingle | Lyubashenko, V. V. Любашенко, В. В. Exterior Tensor Product of Perverse Sheaves |
| title | Exterior Tensor Product of Perverse Sheaves |
| title_alt | Зовнішній тензорний добуток збочених в'язок |
| title_full | Exterior Tensor Product of Perverse Sheaves |
| title_fullStr | Exterior Tensor Product of Perverse Sheaves |
| title_full_unstemmed | Exterior Tensor Product of Perverse Sheaves |
| title_short | Exterior Tensor Product of Perverse Sheaves |
| title_sort | exterior tensor product of perverse sheaves |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4254 |
| work_keys_str_mv | AT lyubashenkovv exteriortensorproductofperversesheaves AT lûbašenkovv exteriortensorproductofperversesheaves AT lyubashenkovv zovníšníjtenzornijdobutokzbočenihv039âzok AT lûbašenkovv zovníšníjtenzornijdobutokzbočenihv039âzok |