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arXiv · 1307.8310

Vector Bundles on the Moduli Stack of Elliptic Curves

Lennart Meier
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Abstract

We study vector bundles on the moduli stack of elliptic curves over a local ring R. If R is a field or a discrete valuation ring of (residue) characteristic not 2 or 3, all these vector bundles are sums of line bundles. For R the 3-local integers, we construct higher rank indecomposable vector bundles and give a classification of vector bundles that are iterated extensions of line bundles. For R the 2-local integers, we show that there are even indecomposable vector bundles of arbitrary high rank.

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Lennart Meier. 2015-04-20. Vector Bundles on the Moduli Stack of Elliptic Curves. https://arxiv.org/abs/1307.8310

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