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math.AG2025
Hodge theory for local systems and cohomological support loci
Junyan Cao, Ya Deng, Christopher D. Hacon +1
In this article, we pursue two main objectives. The first is to show that the fundamental results of Green-Lazarsfeld (1987, 1991) on generic vanishing theorems, and works of Budur…
math.AG2025
Failure of Boundedness for Generalised Log Canonical Surfaces
Christopher Hacon, Xiaowei Jiang
In this paper, we construct counterexamples to the boundedness of generalised log canonical models of surfaces with fixed appropriate invariants, where the underlying varieties can…