General Hilbert stacks and Quot schemes

Jack Hall; David Rydh

doi:10.1307/mmj/1434731927

General Hilbert stacks and Quot schemes

Jack Hall, David Rydh

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

We prove the algebraicity of the Hilbert functor, the Hilbert stack, the Quot functor, and the stack of coherent sheaves on an algebraic stack X with (quasi-)finite diagonal without any finiteness assumptions on X. We also give similar results for Hom stacks and Weil restrictions.

Original language	English
Pages (from-to)	335-347
Number of pages	13
Journal	Michigan Mathematical Journal
Volume	64
Issue number	2
DOIs	https://doi.org/10.1307/mmj/1434731927
Publication status	Published - 1 Jun 2015

Access to Document

10.1307/mmj/1434731927

Cite this

@article{94ff7057656b4c3bb8fd110a54f1b508,

title = "General Hilbert stacks and Quot schemes",

abstract = "We prove the algebraicity of the Hilbert functor, the Hilbert stack, the Quot functor, and the stack of coherent sheaves on an algebraic stack X with (quasi-)finite diagonal without any finiteness assumptions on X. We also give similar results for Hom stacks and Weil restrictions.",

author = "Jack Hall and David Rydh",

year = "2015",

month = jun,

day = "1",

doi = "10.1307/mmj/1434731927",

language = "English",

volume = "64",

pages = "335--347",

journal = "Michigan Mathematical Journal",

issn = "0026-2285",

publisher = "University of Michigan",

number = "2",

}

TY - JOUR

T1 - General Hilbert stacks and Quot schemes

AU - Hall, Jack

AU - Rydh, David

PY - 2015/6/1

Y1 - 2015/6/1

N2 - We prove the algebraicity of the Hilbert functor, the Hilbert stack, the Quot functor, and the stack of coherent sheaves on an algebraic stack X with (quasi-)finite diagonal without any finiteness assumptions on X. We also give similar results for Hom stacks and Weil restrictions.

AB - We prove the algebraicity of the Hilbert functor, the Hilbert stack, the Quot functor, and the stack of coherent sheaves on an algebraic stack X with (quasi-)finite diagonal without any finiteness assumptions on X. We also give similar results for Hom stacks and Weil restrictions.

UR - http://www.scopus.com/inward/record.url?scp=84933047371&partnerID=8YFLogxK

U2 - 10.1307/mmj/1434731927

DO - 10.1307/mmj/1434731927

M3 - Article

SN - 0026-2285

VL - 64

SP - 335

EP - 347

JO - Michigan Mathematical Journal

JF - Michigan Mathematical Journal

IS - 2

ER -

General Hilbert stacks and Quot schemes

Abstract

Access to Document

Other files and links

Fingerprint

Cite this