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added details on the kind of SOD I mean.
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DannyBoy
DannyBoy
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Let $X$ be a projective Fano 3-fold or 4-fold and let $D^b(X)$ be the bounded derived category of coherent sheaves on $X$. For what $X$ is it known a semi orthogonal decomposition into indecomposable subcategories of $D^b(X)$? I guess quite a lot of them...

Let $X$ be a projective Fano 3-fold or 4-fold and let $D^b(X)$ be the bounded derived category of coherent sheaves on $X$. For what $X$ is it known a semi orthogonal decomposition of $D^b(X)$? I guess quite a lot of them...

Let $X$ be a projective Fano 3-fold or 4-fold and let $D^b(X)$ be the bounded derived category of coherent sheaves on $X$. For what $X$ is it known a semi orthogonal decomposition into indecomposable subcategories of $D^b(X)$? I guess quite a lot of them...

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DannyBoy
DannyBoy
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DannyBoy
DannyBoy
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Semiorthogonal decompositions for Fano 3-folds and 4folds

Let $X$ be a projective Fano 3-fold or 4-fold and let $D^b(X)$ be the bounded derived category of coherent sheaves on $X$. For what $X$ is it known a semi orthogonal decomposition of $D^b(X)$? I guess quite a lot of them...