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arXiv · 2607.17026

Characteristic cycles of constructible sheaves and microlocalization

Takeshi Saito
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Abstract

For a constructible sheaf on a smooth scheme over a field of positive characteristic, the singular support and the characteristic cycle are defined on the cotangent bundle. We study if a construction using the microlocalization similar to that in a transcendental setting due to Kashiwara--Schapira works in the algebraic setting and prove partial positive results.

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Takeshi Saito. 2026-07-19. Characteristic cycles of constructible sheaves and microlocalization. https://arxiv.org/abs/2607.17026

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