2015•arXiv (Cornell University)Open access

Leray spectral sequence for complements of certain arrangements of smooth submanifolds

Weber, Andrzej

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Abstract

Let Z be an arrangement of submanifolds in a complex compact algebraic manifold X. We allow some kind of singular intersections. We consider the Leray spectral sequence of the embedding of the U=X-Z into X and formulate a condition sufficient for degeneration of this spectral sequence on E_3-table.

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Let Z be an arrangement of submanifolds in a complex compact algebraic manifold X. We allow some kind of singular intersections. We consider the Leray spectral sequence of the embedding of the U=X-Z into X and formulate a condition sufficient for degeneration of this spectral sequence on E_3-table.

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Available abstract

Let Z be an arrangement of submanifolds in a complex compact algebraic manifold X. We allow some kind of singular intersections. We consider the Leray spectral sequence of the embedding of the U=X-Z into X and formulate a condition sufficient for degeneration of this spectral sequence on E_3-table.

Key concepts: Spectral sequence, Embedding, Sequence (biology), Pure mathematics, Mathematics, Algebraic number, Manifold (fluid mechanics), Table (database)

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