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arXiv · 1509.02170

Pushforwards of Tilting Sheaves

Ajneet Dhillon·Nicole Lemire·Youlong Yan
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Abstract

We investigate the behaviour of tilting sheaves under pushforward by a finite Galois morphism. We determine conditions under which such a pushforward of a tilting sheaf is a tilting sheaf. We then produce some examples of Severi Brauer flag varieties and arithmetic toric varieties in which our method produces a tilting sheaf, adding to the list of positive results in the literature. We also produce some counterexamples to show that such a pushfoward need not be a tilting sheaf.

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BibTeXRIS

Ajneet Dhillon, Nicole Lemire, Youlong Yan. 2018-11-29. Pushforwards of Tilting Sheaves. https://arxiv.org/abs/1509.02170

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