Weak factorization and the Grothendieck group of Deligne–Mumford stacks

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

Standard

Weak factorization and the Grothendieck group of Deligne–Mumford stacks. / Bergh, Daniel.

In: Advances in Mathematics, Vol. 340, 2018, p. 193-210.

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

Harvard

Bergh, D 2018, 'Weak factorization and the Grothendieck group of Deligne–Mumford stacks', Advances in Mathematics, vol. 340, pp. 193-210. https://doi.org/10.1016/j.aim.2018.09.030

APA

Bergh, D. (2018). Weak factorization and the Grothendieck group of Deligne–Mumford stacks. Advances in Mathematics, 340, 193-210. https://doi.org/10.1016/j.aim.2018.09.030

Vancouver

Bergh D. Weak factorization and the Grothendieck group of Deligne–Mumford stacks. Advances in Mathematics. 2018;340:193-210. https://doi.org/10.1016/j.aim.2018.09.030

Author

Bergh, Daniel. / Weak factorization and the Grothendieck group of Deligne–Mumford stacks. In: Advances in Mathematics. 2018 ; Vol. 340. pp. 193-210.

Bibtex

@article{efdd4850aa4644019337ee078a70823d,
title = "Weak factorization and the Grothendieck group of Deligne–Mumford stacks",
abstract = "We construct a presentation for the Grothendieck group of Deligne–Mumford stacks over a field of characteristic zero. The generators for this presentation are smooth, proper Deligne–Mumford stacks and the relations are expressed in terms of stacky blow-ups. In the process we prove a version of the weak factorization theorem for Deligne–Mumford stacks.",
keywords = "Deligne–Mumford stack, Destackification, Grothendieck group of varieties, Weak factorization",
author = "Daniel Bergh",
year = "2018",
doi = "10.1016/j.aim.2018.09.030",
language = "English",
volume = "340",
pages = "193--210",
journal = "Advances in Mathematics",
issn = "0001-8708",
publisher = "Academic Press",

}

RIS

TY - JOUR

T1 - Weak factorization and the Grothendieck group of Deligne–Mumford stacks

AU - Bergh, Daniel

PY - 2018

Y1 - 2018

N2 - We construct a presentation for the Grothendieck group of Deligne–Mumford stacks over a field of characteristic zero. The generators for this presentation are smooth, proper Deligne–Mumford stacks and the relations are expressed in terms of stacky blow-ups. In the process we prove a version of the weak factorization theorem for Deligne–Mumford stacks.

AB - We construct a presentation for the Grothendieck group of Deligne–Mumford stacks over a field of characteristic zero. The generators for this presentation are smooth, proper Deligne–Mumford stacks and the relations are expressed in terms of stacky blow-ups. In the process we prove a version of the weak factorization theorem for Deligne–Mumford stacks.

KW - Deligne–Mumford stack

KW - Destackification

KW - Grothendieck group of varieties

KW - Weak factorization

UR - http://www.scopus.com/inward/record.url?scp=85054584840&partnerID=8YFLogxK

U2 - 10.1016/j.aim.2018.09.030

DO - 10.1016/j.aim.2018.09.030

M3 - Journal article

AN - SCOPUS:85054584840

VL - 340

SP - 193

EP - 210

JO - Advances in Mathematics

JF - Advances in Mathematics

SN - 0001-8708

ER -

ID: 209260076