The Hilbert scheme of 11 points in A3 is irreducible

Theodosios Douvropoulos; Joachim Jelisiejew; Bernt Ivar Utstøl Nødland; Zach Teitler

doi:10.1007/978-1-4939-7486-3_15

The Hilbert scheme of 11 points in A³ is irreducible

Theodosios Douvropoulos
, Joachim Jelisiejew
, Bernt Ivar Utstøl Nødland
, Zach Teitler

Mathematics Department

Institut de Recherche en Informatique Fondamentale (IRIF)
University of Warsaw
University of Oslo

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

14 Scopus citations

Abstract

We prove that the Hilbert scheme of 11 points on a smooth threefold is irreducible. In the course of the proof, we present several known and new techniques for producing curves on the Hilbert scheme.

Original language	English
Title of host publication	Fields Institute Communications
Pages	321-352
Number of pages	32
DOIs	https://doi.org/10.1007/978-1-4939-7486-3_15
State	Published - 2017

Publication series

Name	Fields Institute Communications
Volume	80
ISSN (Print)	1069-5265

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10.1007/978-1-4939-7486-3_15

Cite this

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title = "The Hilbert scheme of 11 points in A3 is irreducible",

abstract = "We prove that the Hilbert scheme of 11 points on a smooth threefold is irreducible. In the course of the proof, we present several known and new techniques for producing curves on the Hilbert scheme.",

author = "Theodosios Douvropoulos and Joachim Jelisiejew and N{\o}dland, \{Bernt Ivar Utst{\o}l\} and Zach Teitler",

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T1 - The Hilbert scheme of 11 points in A3 is irreducible

AU - Douvropoulos, Theodosios

AU - Jelisiejew, Joachim

AU - Nødland, Bernt Ivar Utstøl

AU - Teitler, Zach

PY - 2017

Y1 - 2017

N2 - We prove that the Hilbert scheme of 11 points on a smooth threefold is irreducible. In the course of the proof, we present several known and new techniques for producing curves on the Hilbert scheme.

AB - We prove that the Hilbert scheme of 11 points on a smooth threefold is irreducible. In the course of the proof, we present several known and new techniques for producing curves on the Hilbert scheme.

UR - https://www.scopus.com/pages/publications/85034839008

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DO - 10.1007/978-1-4939-7486-3_15

M3 - Chapter

AN - SCOPUS:85034839008

T3 - Fields Institute Communications

SP - 321

EP - 352

BT - Fields Institute Communications

ER -

The Hilbert scheme of 11 points in A³ is irreducible

Abstract

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