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math.AG2024
Moving Seshadri constants and effective Fujita-type conjectures
Takumi Murayama
Fujita's conjecture is known to be false in positive characteristic. We conjecture and give an approach to a new variant of Fujita's conjecture for the basepoint-freeness, very amp…
math.AG2024
Injectivity theorems and cubical descent for schemes, stacks, and analytic spaces
Takumi Murayama
We prove relative injectivity, torsion-freeness, and vanishing theorems for generalized normal crossing pairs on schemes, algebraic stacks, formal schemes, semianalytic germs of co…