2 problems

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Conjecture on nilpotent linear parts of nonmatching Pfaffian systems
Consider a completely integrable Pfaffian system with normal crossings whose two monomial exponents are $(p,q)$ and $(p',q')$ , and let $A_{0,0}$ and $B_{0,0}$ denote the matrices o…
Conjectureopennormal-crossings pfaffian-systems summabilityarXiv posted 2 days ago
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Backlund reduction-diagram conjecture for the Goursat systems
Backlund reduction-diagram conjecture. Reducing $\mathcal{I}$ by $\Gamma_{G_1}$ , $\Gamma_{G_2}$ , and $\Gamma_H$ should produce a commutative diagram of Pfaffian systems with quotie…
Conjectureopenbacklund-transformations differential-systems pfaffian-systemsarXiv posted 2 days ago

Conjecture on nilpotent linear parts of nonmatching Pfaffian systems