Rank two sheaves with maximal third Chern character in three-dimensional projective space

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

Authors

  • Benjamin Schmidt

Research Organisations

View graph of relations

Details

Original languageEnglish
Pages (from-to)228-270
Number of pages43
JournalMatematica Contemporanea
Volume47
Publication statusPublished - 29 Nov 2018

Abstract

We give a complete classification of semistable rank two sheaves on three-dimensional projective space with maximal third Chern character. This implies an explicit description of their moduli spaces. As an open subset they contain rank two reflexive sheaves with maximal number of singularities. These spaces are irreducible, and apart from a single special case, they are also smooth. This extends a result by Okonek and Spindler to all missing cases and gives a new proof of their result. The key technical ingredient is variation of stability in the derived category.

Cite this

Rank two sheaves with maximal third Chern character in three-dimensional projective space. / Schmidt, Benjamin.
In: Matematica Contemporanea, Vol. 47, 29.11.2018, p. 228-270.

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

Schmidt B. Rank two sheaves with maximal third Chern character in three-dimensional projective space. Matematica Contemporanea. 2018 Nov 29;47:228-270. doi: 10.48550/arXiv.1811.11951, 10.21711/231766362020/rmc4710
Schmidt, Benjamin. / Rank two sheaves with maximal third Chern character in three-dimensional projective space. In: Matematica Contemporanea. 2018 ; Vol. 47. pp. 228-270.
Download
@article{086eb4d44de749a4a19d3cc849cf55d1,
title = "Rank two sheaves with maximal third Chern character in three-dimensional projective space",
abstract = "We give a complete classification of semistable rank two sheaves on three-dimensional projective space with maximal third Chern character. This implies an explicit description of their moduli spaces. As an open subset they contain rank two reflexive sheaves with maximal number of singularities. These spaces are irreducible, and apart from a single special case, they are also smooth. This extends a result by Okonek and Spindler to all missing cases and gives a new proof of their result. The key technical ingredient is variation of stability in the derived category. ",
author = "Benjamin Schmidt",
year = "2018",
month = nov,
day = "29",
doi = "10.48550/arXiv.1811.11951",
language = "English",
volume = "47",
pages = "228--270",

}

Download

TY - JOUR

T1 - Rank two sheaves with maximal third Chern character in three-dimensional projective space

AU - Schmidt, Benjamin

PY - 2018/11/29

Y1 - 2018/11/29

N2 - We give a complete classification of semistable rank two sheaves on three-dimensional projective space with maximal third Chern character. This implies an explicit description of their moduli spaces. As an open subset they contain rank two reflexive sheaves with maximal number of singularities. These spaces are irreducible, and apart from a single special case, they are also smooth. This extends a result by Okonek and Spindler to all missing cases and gives a new proof of their result. The key technical ingredient is variation of stability in the derived category.

AB - We give a complete classification of semistable rank two sheaves on three-dimensional projective space with maximal third Chern character. This implies an explicit description of their moduli spaces. As an open subset they contain rank two reflexive sheaves with maximal number of singularities. These spaces are irreducible, and apart from a single special case, they are also smooth. This extends a result by Okonek and Spindler to all missing cases and gives a new proof of their result. The key technical ingredient is variation of stability in the derived category.

U2 - 10.48550/arXiv.1811.11951

DO - 10.48550/arXiv.1811.11951

M3 - Article

VL - 47

SP - 228

EP - 270

JO - Matematica Contemporanea

JF - Matematica Contemporanea

SN - 0103-9059

ER -