The Binomial Theorem and motivic classes of universal quasi-split tori
Taking symmetric powers of varieties can be seen as a functor from the category of varieties to the category of varieties with an action by the symmetric group. We study a corresponding map between the Grothendieck groups of these categories. In particular, we derive a binomial formula and use it to...
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| Veröffentlicht in: | Manuscripta mathematica 2019-07, Vol.159 (3-4), p.347-361, Article 347 |
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| container_title | Manuscripta mathematica |
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| creator | Bergh, Daniel |
| description | Taking symmetric powers of varieties can be seen as a functor from the category of varieties to the category of varieties with an action by the symmetric group. We study a corresponding map between the Grothendieck groups of these categories. In particular, we derive a binomial formula and use it to give explicit expressions for the classes of universal quasi-split tori in the equivariant Grothendieck group of varieties. |
| doi_str_mv | 10.1007/s00229-018-1074-4 |
| format | Article |
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| ispartof | Manuscripta mathematica, 2019-07, Vol.159 (3-4), p.347-361, Article 347 |
| issn | 0025-2611 1432-1785 |
| language | eng |
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| source | SpringerNature Journals |
| subjects | Algebraic Geometry Binomial theorem Calculus of Variations and Optimal Control Optimization Geometry Lie Groups Mathematics Mathematics and Statistics Number Theory Topological Groups Toruses |
| title | The Binomial Theorem and motivic classes of universal quasi-split tori |
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