14 citations · 85 across the 21 of their papers we have counts for
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math.AC2019★ 14 cited
Permanence properties of -injectivity
Rankeya Datta, Takumi Murayama
We prove that -injectivity localizes, descends under faithfully flat homomorphisms, and ascends under flat homomorphisms with Cohen-Macaulay and geometrically -injective fibe…
math.AG2019★ 6 cited
Seshadri Constants and Fujita's Conjecture via Positive Characteristic Methods
Takumi Murayama
In 1988, Fujita conjectured that there is an effective and uniform way to turn an ample line bundle on a smooth projective variety into a globally generated or very ample line bund…
math.AG2019★ 1 cited
Seshadri constants for vector bundles
Mihai Fulger, Takumi Murayama
We introduce Seshadri constants for line bundles in a relative setting. They generalize the classical Seshadri constants of line bundles on projective varieties and their extension…