The birational geometry of moduli spaces of sheaves on the projective plane

Aaron Bertram; Cristian Martinez; Jie Wang

doi:10.1007/s10711-013-9927-1

The birational geometry of moduli spaces of sheaves on the projective plane

Aaron Bertram, Cristian Martinez, Jie Wang

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

24 Citations (Scopus)

Abstract

We describe a close relation between wall crossings in the birational geometry of moduli space of Gieseker stable sheaves M_H(v)on P²and mini-wall crossings in the stability manifold Stab(D^b(P²)).

Original language	English
Pages (from-to)	37-64
Number of pages	28
Journal	Geometriae Dedicata
Volume	173
Issue number	1
DOIs	https://doi.org/10.1007/s10711-013-9927-1
Publication status	Published - Dec 1 2014
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2013, Springer Science+Business Media Dordrecht.

ASJC Scopus Subject Areas

Geometry and Topology

Keywords

Birational geometry
Bridgeland moduli space
Bridgeland stability conditions
Moduli of complexes
Moduli of sheaves

Access to Document

10.1007/s10711-013-9927-1

Cite this

@article{64bd54d5e3784ccb9a2ed2bba3cd5aff,

title = "The birational geometry of moduli spaces of sheaves on the projective plane",

abstract = "We describe a close relation between wall crossings in the birational geometry of moduli space of Gieseker stable sheaves MH(v)on P2and mini-wall crossings in the stability manifold Stab(Db(P2)).",

keywords = "Birational geometry, Bridgeland moduli space, Bridgeland stability conditions, Moduli of complexes, Moduli of sheaves",

author = "Aaron Bertram and Cristian Martinez and Jie Wang",

note = "Publisher Copyright: {\textcopyright} 2013, Springer Science+Business Media Dordrecht.",

year = "2014",

month = dec,

day = "1",

doi = "10.1007/s10711-013-9927-1",

language = "English",

volume = "173",

pages = "37--64",

journal = "Geometriae Dedicata",

issn = "0046-5755",

publisher = "Springer Netherlands",

number = "1",

}

TY - JOUR

T1 - The birational geometry of moduli spaces of sheaves on the projective plane

AU - Bertram, Aaron

AU - Martinez, Cristian

AU - Wang, Jie

PY - 2014/12/1

Y1 - 2014/12/1

N2 - We describe a close relation between wall crossings in the birational geometry of moduli space of Gieseker stable sheaves MH(v)on P2and mini-wall crossings in the stability manifold Stab(Db(P2)).

AB - We describe a close relation between wall crossings in the birational geometry of moduli space of Gieseker stable sheaves MH(v)on P2and mini-wall crossings in the stability manifold Stab(Db(P2)).

KW - Birational geometry

KW - Bridgeland moduli space

KW - Bridgeland stability conditions

KW - Moduli of complexes

KW - Moduli of sheaves

UR - http://www.scopus.com/inward/record.url?scp=84885530541&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84885530541&partnerID=8YFLogxK

U2 - 10.1007/s10711-013-9927-1

DO - 10.1007/s10711-013-9927-1

M3 - Article

AN - SCOPUS:84885530541

SN - 0046-5755

VL - 173

SP - 37

EP - 64

JO - Geometriae Dedicata

JF - Geometriae Dedicata

IS - 1

ER -

The birational geometry of moduli spaces of sheaves on the projective plane

Abstract

Bibliographical note

ASJC Scopus Subject Areas

Keywords

Access to Document

Other files and links

Cite this