3 problems

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The lower-bound sharpness conjecture for $K_5^<$
The lower-bound sharpness conjecture for $K_5^<$ . All four lower bounds are sharp:
Conjectureopencodegree-density forbidden-hypergraphs hypergraph-turanarXiv posted 2 days ago
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The iterated-blow-up conjecture for $\{K_4^{3-},C_5\}$
Let $G$ be the iterated blow-up of an edge, obtained from a complete balanced $3$ -partite $3$ -graph by inserting a complete balanced $3$ -partite $3$ -graph recursively in each part.…
Conjectureopencodegree-density forbidden-hypergraphs hypergraph-turanarXiv posted 2 days ago
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The extremal blow-up conjecture for $K_4^{3-}$ in codegree squared density
Let $S_6$ be the $3$ -graph on six vertices with edge set … Let $n=6^k$ and let $G$ be the iterated blow-up of $S_6$ . The $3$ -graph $G$ is $K_4^{3-}$ -free and satisfies…
Conjectureopencodegree-density forbidden-hypergraphs hypergraph-turanarXiv posted 2 days ago

The lower-bound sharpness conjecture for K5<K_5^<K5<​