The unique tangent cone property for weakly holomorphic maps into projective algebraic varieties
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Date
2023-09-15
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Journal Article
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Abstract
We establish the uniqueness of tangent maps for general weakly holomorphic and locally approximable maps from an arbitrary almost complex manifold into projective algebraic varieties. As a by-product of the approach and the techniques developed, we also obtain the unique tangent cone property for a special class of nonrectifiable positive pseudoholomorphic cycles. This approach also gives a new proof of the main result by Bellettini on the uniqueness of tangent cones for positive integral (p, p)-cycles in arbitrary almost complex manifolds.
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published
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172 (13)
Pages / Article No.
2471 - 2536
Publisher
Duke University Press
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03600 - Rivière, Tristan / Rivière, Tristan
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192062 - Variational Analysis in Geometry (SNF)