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arXiv · 2010.03221

Extending Vector Bundles from Curves

Siddharth Mathur
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Abstract

Given a curve in a (smooth) projective variety $C \subset X$, we show that a vector bundle $V$ on C can be extended to a ($\mu$-stable) vector bundle on $X$ if $\text{rank}(V) \geq \text{dim}(X)$ and $\text{det}(V)$ extends to $X$.

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Siddharth Mathur. 2020-10-07. Extending Vector Bundles from Curves. https://arxiv.org/abs/2010.03221

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