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math.DG2026
Pfaffian Geometry and Indicial Singularities of Third-Order Linear ODEs
Víctor León, Bruno Scárdua
We study third-order linear differential equations through their associated Pfaffian and projective foliations. In the regular-singular setting, we introduce a Fuchs-adapted Pfaffi…
math.DS2026
Stability and Logarithmic Foliations on Complex Projective Spaces
Víctor León, Bruno Scárdua
We study Lyapunov-type stability for invariant algebraic divisors of codimension-one holomorphic foliations on complex projective spaces. Motivated by the notion of -stability i…
math.AG2026
An arithmetic integrability result for codimension-one foliations on complex projective spaces
Víctor León, Bruno Scárdua
Let $\F$ be a codimension-one holomorphic foliation of degree on $\PP^n$, , admitting an invariant hyperplane . We study the extremal situation in which $S=(H\cap\Si…