GROTHENDIECK RINGS OF DEFINABLE SUBASSIGNMENTS AND EQUIVARIANT MOTIVIC MEASURES
This paper studies categories of definable subassignments with some category equivalences to semi-algebraic and constructible subsets of arc spaces of algebraic varieties. These equivalences lead to the identity of certain Grothendieck rings, which allows us to compare the motivic measure of Clucker...
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| Format: | Article |
| Language: | English |
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Dalat University
2022-01-01
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| Series: | Tạp chí Khoa học Đại học Đà Lạt |
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| Online Access: | https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/902 |
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| _version_ | 1832557638030721024 |
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| author | Quy Thuong Le |
| author_facet | Quy Thuong Le |
| author_sort | Quy Thuong Le |
| collection | DOAJ |
| description | This paper studies categories of definable subassignments with some category equivalences to semi-algebraic and constructible subsets of arc spaces of algebraic varieties. These equivalences lead to the identity of certain Grothendieck rings, which allows us to compare the motivic measure of Cluckers-Loeser with that of Denef-Loeser for certain classes of definable subassignments. |
| format | Article |
| id | doaj-art-523749206a114e18813d622819138496 |
| institution | Kabale University |
| issn | 0866-787X |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Dalat University |
| record_format | Article |
| series | Tạp chí Khoa học Đại học Đà Lạt |
| spelling | doaj-art-523749206a114e18813d6228191384962025-02-03T03:29:35ZengDalat UniversityTạp chí Khoa học Đại học Đà Lạt0866-787X2022-01-018611210.37569/DalatUniversity.12.2.902(2022)648GROTHENDIECK RINGS OF DEFINABLE SUBASSIGNMENTS AND EQUIVARIANT MOTIVIC MEASURESQuy Thuong Le0University of Science, Vietnam National UniversityThis paper studies categories of definable subassignments with some category equivalences to semi-algebraic and constructible subsets of arc spaces of algebraic varieties. These equivalences lead to the identity of certain Grothendieck rings, which allows us to compare the motivic measure of Cluckers-Loeser with that of Denef-Loeser for certain classes of definable subassignments.https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/902definable subassignmentsgrothendieck ringmeasurable subassignmentsmotivic measure. |
| spellingShingle | Quy Thuong Le GROTHENDIECK RINGS OF DEFINABLE SUBASSIGNMENTS AND EQUIVARIANT MOTIVIC MEASURES Tạp chí Khoa học Đại học Đà Lạt definable subassignments grothendieck ring measurable subassignments motivic measure. |
| title | GROTHENDIECK RINGS OF DEFINABLE SUBASSIGNMENTS AND EQUIVARIANT MOTIVIC MEASURES |
| title_full | GROTHENDIECK RINGS OF DEFINABLE SUBASSIGNMENTS AND EQUIVARIANT MOTIVIC MEASURES |
| title_fullStr | GROTHENDIECK RINGS OF DEFINABLE SUBASSIGNMENTS AND EQUIVARIANT MOTIVIC MEASURES |
| title_full_unstemmed | GROTHENDIECK RINGS OF DEFINABLE SUBASSIGNMENTS AND EQUIVARIANT MOTIVIC MEASURES |
| title_short | GROTHENDIECK RINGS OF DEFINABLE SUBASSIGNMENTS AND EQUIVARIANT MOTIVIC MEASURES |
| title_sort | grothendieck rings of definable subassignments and equivariant motivic measures |
| topic | definable subassignments grothendieck ring measurable subassignments motivic measure. |
| url | https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/902 |
| work_keys_str_mv | AT quythuongle grothendieckringsofdefinablesubassignmentsandequivariantmotivicmeasures |