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On the Kähler Rank of Compact Complex Surfaces

Matei Toma

2008Bulletin de la Société mathématique de FranceMathematics被引 9开放获取

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摘要

Harvey and Lawson introduced the Khler rank and computed it in connection to the cone of positive exact currents of bidimension (1, 1) for many classes of compact complex surfaces. In this paper we extend these computations to the only further known class of surfaces not considered by them, that of Kato surfaces. Our main tool is the reduction to the dynamics of associated holomorphic contractions

引用本文(GB/T 7714)

Matei Toma. On the Kähler Rank of Compact Complex Surfaces[J]. Bulletin de la Société mathématique de France, 2008.

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DOI:https://doi.org/10.24033/bsmf.2556

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