An extension of coherent sheaves defined outside holomorphically convex compact sets

作者：Vajaitu Viorel^*

来源：Annali di Matematica Pura ed Applicata, 2012, 191(4): 711-724.

DOI：10.1007/s10231-011-0202-5

• Coherent sheaf
• Coherent extension
• Holomorphically convex compact set
• 1-convex space
• Remmert reduction

We show that a coherent analytic sheaf F with prof F >= 2 defined outside a holomorphically convex compact set K in a 1-convex space X admits a coherent extension to the whole space X if, and only if, the canonical topology on H-1 (X \ K, F) is separated.

• 出版日期2012-12