Loading [MathJax]/extensions/tex2jax.js

Sheaves of low rank in three dimensional projective space

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autorschaft

  • Benjamin Schmidt

Organisationseinheiten

Details

OriginalspracheEnglisch
Aufsatznummer103
FachzeitschriftEuropean Journal of Mathematics
Jahrgang9
Ausgabenummer4
PublikationsstatusVeröffentlicht - 30 Okt. 2023

Abstract

We classify Chern characters of semistable sheaves up to rank four in three dimensional projective space. As a corollary we show that moduli spaces of semistable sheaves between rank zero and four with maximal third Chern character are smooth and irreducible.

ASJC Scopus Sachgebiete

Zitieren

Sheaves of low rank in three dimensional projective space. / Schmidt, Benjamin.
in: European Journal of Mathematics, Jahrgang 9, Nr. 4, 103, 30.10.2023.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Schmidt B. Sheaves of low rank in three dimensional projective space. European Journal of Mathematics. 2023 Okt 30;9(4):103. doi: 10.48550/arXiv.2112.06260, 10.1007/s40879-023-00700-6
Schmidt, Benjamin. / Sheaves of low rank in three dimensional projective space. in: European Journal of Mathematics. 2023 ; Jahrgang 9, Nr. 4.
Download
@article{814c0855dbd84a02ab8653c4edebeb86,
title = "Sheaves of low rank in three dimensional projective space",
abstract = " We classify Chern characters of semistable sheaves up to rank four in three dimensional projective space. As a corollary we show that moduli spaces of semistable sheaves between rank zero and four with maximal third Chern character are smooth and irreducible. ",
keywords = "math.AG, Stability conditions, Threefolds, Derived categories, Moduli spaces of sheaves",
author = "Benjamin Schmidt",
year = "2023",
month = oct,
day = "30",
doi = "10.48550/arXiv.2112.06260",
language = "English",
volume = "9",
number = "4",

}

Download

TY - JOUR

T1 - Sheaves of low rank in three dimensional projective space

AU - Schmidt, Benjamin

PY - 2023/10/30

Y1 - 2023/10/30

N2 - We classify Chern characters of semistable sheaves up to rank four in three dimensional projective space. As a corollary we show that moduli spaces of semistable sheaves between rank zero and four with maximal third Chern character are smooth and irreducible.

AB - We classify Chern characters of semistable sheaves up to rank four in three dimensional projective space. As a corollary we show that moduli spaces of semistable sheaves between rank zero and four with maximal third Chern character are smooth and irreducible.

KW - math.AG

KW - Stability conditions

KW - Threefolds

KW - Derived categories

KW - Moduli spaces of sheaves

UR - http://www.scopus.com/inward/record.url?scp=85175337384&partnerID=8YFLogxK

U2 - 10.48550/arXiv.2112.06260

DO - 10.48550/arXiv.2112.06260

M3 - Article

VL - 9

JO - European Journal of Mathematics

JF - European Journal of Mathematics

SN - 2199-675X

IS - 4

M1 - 103

ER -