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Keller VandeBogert

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Preprint Jul 2026

Carlsson's Conjecture and the Generalized Total Rank Conjecture in Characteristic Two

We prove the generalized total rank conjecture over regular rings in characteristic $2$: if $R$ is a regular Noetherian domain of characteristic $2$ and $P$ is a differential $R$-module admitting a finite projective flag and having nonzero homology $H(P)$, then $\rank_R(P)\ge2^{\codim_RH(P)}$. In particular, we prove C...

Keller VandeBogert · 0 citations