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arxiv: 1612.00898 · v1 · pith:Z3KAD26Vnew · submitted 2016-12-03 · 🧮 math.AG

Asymptotic syzygies grow exponentially: a remark on a paper of Ein-Lazarsfeld

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keywords asymptoticexponentiallycohomologydimensionein-lazarsfeldgroupgrowgrows
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For all $2\leq q\leq \dim(X)$ and most relevant $p$ values, the dimension of the asymptotic Koszul cohomology group $K_{p,q}(X, B;L_d)$ grows exponentially with $d$.

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