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On conjectures of Hovey–Strickland and Chai

Barthel, Tobias ; Heard, Drew ; Naumann, Niko


We prove the height two case of a conjecture of Hovey and Strickland that provides a K (n)-local analogue of the Hopkins-Smith thick subcategory theorem. Our approach first reduces the general conjecture to a problem in arithmetic geometry posed by Chai. We then use the Gross-Hopkins period map to verify Chai's Hope at height two and all primes. Along the way, we show that the graded commutative ...


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