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In algebraic geometry, a projective variety over an algebraically closed field $k$ is a subset of some projective $n$-space $\mathbb P^n$ over $k$ that is the zero-locus of some finite family of homogeneous polynomials of $n + 1$ variables with coefficients in $k$, that generate a prime ideal, the defining ideal of the variety

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Is the pushforward of a closed immersion ever fully-faithful at the level of Derived Categor...

It essentially is "never" fully faithful. In your question, you implicitly assume that $i_*$ preserves perfect complexes - this is a restriction, but not as severe as fully faithfulness (e.g. it is sa …
Maxime Ramzi's user avatar
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