Complex surfaces with equivalent derived categories

Complex surfaces with equivalent derived categories
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DOI:
10.1007/pl00004847
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发表时间:
2001-04
影响因子:
0.8
通讯作者:
T. Bridgeland;A. Maciocia
T. Bridgeland;A. Maciocia
中科院分区:
数学2区
文献类型:
--
作者:
T. Bridgeland;A. Maciocia

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我们考察了光滑极小复射影曲面X由其导出的凝聚层范畴(DX)所决定的程度。为此,对于每个这样的表面X,我们找到存在傅里叶-Mukai变换DD(X)的曲面集合Y。
We examine the extent to which a smooth minimal complex projective surfaceXis determined by its derived category of coherent sheaves (DX). To do this we find, for each such surfaceX, the set of surfacesYfor which there exists a Fourier-Mukai transform DD(X).