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In this paper, we prove a strengthening of the generic vanishing result in characteristic p > 0 given in Hacon and Patakfalvi (Am J Math 138(4):963-998, 2016). As a consequence of this result, we show that irreducible Theta divisors are strongly F-regular and we prove a related result for pluri-theta divisors.
Alain Nussbaumer, Heikki Tapani Remes, Abinab Niraula
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Marianne Liebi, Manuel Guizar Sicairos