The Binomial Theorem and motivic classes of universal quasi-split tori

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The Binomial Theorem and motivic classes of universal quasi-split tori. / Bergh, Daniel.

In: Manuscripta Mathematica, Vol. 159, No. 3-4, 2019, p. 347-361.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Bergh, D 2019, 'The Binomial Theorem and motivic classes of universal quasi-split tori', Manuscripta Mathematica, vol. 159, no. 3-4, pp. 347-361. https://doi.org/10.1007/s00229-018-1074-4

APA

Bergh, D. (2019). The Binomial Theorem and motivic classes of universal quasi-split tori. Manuscripta Mathematica, 159(3-4), 347-361. https://doi.org/10.1007/s00229-018-1074-4

Vancouver

Bergh D. The Binomial Theorem and motivic classes of universal quasi-split tori. Manuscripta Mathematica. 2019;159(3-4):347-361. https://doi.org/10.1007/s00229-018-1074-4

Author

Bergh, Daniel. / The Binomial Theorem and motivic classes of universal quasi-split tori. In: Manuscripta Mathematica. 2019 ; Vol. 159, No. 3-4. pp. 347-361.

Bibtex

@article{984a758db34d41b78db36d151a4973c6,
title = "The Binomial Theorem and motivic classes of universal quasi-split tori",
abstract = "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.",
author = "Daniel Bergh",
year = "2019",
doi = "10.1007/s00229-018-1074-4",
language = "English",
volume = "159",
pages = "347--361",
journal = "Manuscripta Mathematica",
issn = "0025-2611",
publisher = "Springer",
number = "3-4",

}

RIS

TY - JOUR

T1 - The Binomial Theorem and motivic classes of universal quasi-split tori

AU - Bergh, Daniel

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

U2 - 10.1007/s00229-018-1074-4

DO - 10.1007/s00229-018-1074-4

M3 - Journal article

AN - SCOPUS:85066803836

VL - 159

SP - 347

EP - 361

JO - Manuscripta Mathematica

JF - Manuscripta Mathematica

SN - 0025-2611

IS - 3-4

ER -

ID: 240742374