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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Trường Đại học Đà Lạt
2023
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| Truy cập trực tuyến: | https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/114447 https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/902 |
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oai:scholar.dlu.edu.vn:DLU123456789-1144472023-10-27T14:46:58Z GROTHENDIECK RINGS OF DEFINABLE SUBASSIGNMENTS AND EQUIVARIANT MOTIVIC MEASURES Le, Quy Thuong 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. 2023-03-04T08:26:19Z 2023-03-04T08:26:19Z 2022 Article 0866-787X https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/114447 https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/902 10.37569/DalatUniversity.12.2.902(2022) en Tạp chí Khoa học Đại học Đà Lạt, Tập 12, Số 2; tr. 86-112 application/pdf Trường Đại học Đà Lạt |
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English |
| 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 |
| author |
Le, Quy Thuong |
| spellingShingle |
Le, Quy Thuong GROTHENDIECK RINGS OF DEFINABLE SUBASSIGNMENTS AND EQUIVARIANT MOTIVIC MEASURES |
| author_facet |
Le, Quy Thuong |
| author_sort |
Le, Quy Thuong |
| title |
GROTHENDIECK RINGS OF DEFINABLE SUBASSIGNMENTS AND EQUIVARIANT MOTIVIC MEASURES |
| title_short |
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_sort |
grothendieck rings of definable subassignments and equivariant motivic measures |
| publisher |
Trường Đại học Đà Lạt |
| publishDate |
2023 |
| url |
https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/114447 https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/902 |
| _version_ |
1819777688847515648 |