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 › Research Article › peer-review

24 Scopus citations

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 (US)
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
State	Published - Dec 1 2014
Externally published	Yes

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.1007/s10711-013-9927-1

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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)).",

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

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year = "2014",

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

language = "English (US)",

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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

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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)).

UR - https://www.scopus.com/pages/publications/84885530541

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U2 - 10.1007/s10711-013-9927-1

DO - 10.1007/s10711-013-9927-1

M3 - Research Article

AN - SCOPUS:84885530541

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JO - Geometriae Dedicata

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IS - 1

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

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