Grothendieck Duality and Transitivity I: Formal Schemes

15 May 2019 Nayak Suresh Sastry Pramathanath

For a proper map $f\colon X\to Y$ of noetherian ordinary schemes, one has a well-known natural transformation, ${\bf L}^*f^*(-)\overset{\bf L}{\otimes} f^! {\mathcal{O}}_Y\to f^!$, obtained via the projection formula, which extends, using Nagata's compactification, to the case where $f$ is separated and of finite type... (read more)

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  • ALGEBRAIC GEOMETRY
  • COMMUTATIVE ALGEBRA