2 problems

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The Veronese lower-bound conjecture for Hilbert–Kunz multiplicity
Veronese lower-bound conjecture. Then
Conjectureopenhilbert-kunz-multiplicity local-rings veronese-ringsarXiv posted 2 days ago
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Davis–Erman–Martinova conjecture on nonstandard Veronese subrings
Let $S$ be a nonstandard graded polynomial ring, and for a positive integer $e$ let $S^{(e)}$ denote its $e$ -th Veronese subring. A graded algebra is nonstandard Koszul when it has…
Conjectureopengraded-rings koszul-algebras veronese-ringsarXiv posted 2 days ago

The Veronese lower-bound conjecture for Hilbert–Kunz multiplicity