arXiv · 0707.4502
In this paper we give a solution to Zariski's problem of analytic classification of plane branches.
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Abramo Hefez, Marcelo E. Hernandes. 2007-07-30. The Analytic Classification of Plane Branches. https://doi.org/10.1112/blms%2Fbdq113
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Let N be the moduli space of stable rank 2 vector bundles on a smooth projective curve of genus g>1 with fixed odd determinant. With Sebastian Torres, we previously found a semi-orthogonal decomposition of the bounded derived category of N into bounded derived categories of symmetric powers of the curve and, possibly, a phantom block. In this work, we employ the theory of weaving patterns to eliminate the possibility of a phantom, completing the proof of the decomposition conjectured by Narasimhan and, independently, by Belmans, Galkin, and Mukhopadhyay.
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