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math.AG2026
Filtrations on Local Cohomology and Injectivity Theorems
Qianyu Chen, Bradley Dirks, Sebastian Olano
We prove that the Hodge filtration on local cohomology is contained in the symbolic Ext filtration, and hence in the usual Ext filtration, answering a question of Mustata and Popa.…
math.AG2026
Hodge theory of secant varieties
Qianyu Chen, Bradley Dirks, Sebastian Olano +1
We study the local cohomology modules for the secant variety of lines of a smooth projective variety and for higher secant varieties of smooth projective curves. We show that t…