Complex surfaces with equivalent derived categories

T  Bridgeland; A  Maciocia

Complex surfaces with equivalent derived categories

School of Mathematics

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

Abstract

We examine the extent to which a smooth minimal complex projective surface X is determined by its derived category of coherent sheaves D(X). To do this we find, for each such surface X, the set of surfaces Y for which there exists a Fourier-Mukai transform D(Y) --> D(X).

Original language	English
Pages (from-to)	677-697
Number of pages	21
Journal	Mathematische zeitschrift
Volume	236
Issue number	4
Publication status	Published - Apr 2001

Keywords / Materials (for Non-textual outputs)

FOURIER-MUKAI TRANSFORMS
ELLIPTIC-SURFACES
BUNDLES
SHEAVES

Cite this

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title = "Complex surfaces with equivalent derived categories",

abstract = "We examine the extent to which a smooth minimal complex projective surface X is determined by its derived category of coherent sheaves D(X). To do this we find, for each such surface X, the set of surfaces Y for which there exists a Fourier-Mukai transform D(Y) --> D(X).",

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author = "T Bridgeland and A Maciocia",

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journal = "Mathematische zeitschrift",

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T1 - Complex surfaces with equivalent derived categories

AU - Bridgeland, T

AU - Maciocia, A

PY - 2001/4

Y1 - 2001/4

N2 - We examine the extent to which a smooth minimal complex projective surface X is determined by its derived category of coherent sheaves D(X). To do this we find, for each such surface X, the set of surfaces Y for which there exists a Fourier-Mukai transform D(Y) --> D(X).

AB - We examine the extent to which a smooth minimal complex projective surface X is determined by its derived category of coherent sheaves D(X). To do this we find, for each such surface X, the set of surfaces Y for which there exists a Fourier-Mukai transform D(Y) --> D(X).

KW - FOURIER-MUKAI TRANSFORMS

KW - ELLIPTIC-SURFACES

KW - BUNDLES

KW - SHEAVES

M3 - Article

SN - 0025-5874

VL - 236

SP - 677

EP - 697

JO - Mathematische zeitschrift

JF - Mathematische zeitschrift

IS - 4

ER -

Complex surfaces with equivalent derived categories

Abstract

Keywords / Materials (for Non-textual outputs)

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