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arXiv · 1907.07194

Recollements and Ladders for weighted projective lines

Shiquan Ruan
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Abstract

In this paper, we construct recollements and ladders for exceptional curves by using reduction/insertion functors due to $p$-cycle construction. As applications to weighted projective lines, we classify recollements for the category of coherent sheaves over a weighted projective line, and give an explicit description of ladders in two different levels: the bounded derived category of coherent sheaves and the stable category of vector bundles.

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Shiquan Ruan. 2019-07-16. Recollements and Ladders for weighted projective lines. https://arxiv.org/abs/1907.07194

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