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key polynomials 1limit key polynomials 1MacLane theory 1order type 1transcendental extensions 1valued fields 1

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most citedKey polynomials for simple extensions of valued fields

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math.CV2026★ 5 cited

The Eigenvalue Problem for the complex Monge-Ampère operator

Papa Badiane, Ahmed Zeriahi

We prove the existence of the first eigenvalue and an associated eigenfunction with Dirichlet condition for the complex Monge-Ampère operator on a bounded strongly pseudoconvex do…

math.CV2026

Families of singular Kähler-Einstein metrics

Eleonora Di Nezza, Vincent Guedj, Henri Guenancia

Refining Yau's and Kolodziej's techniques, we establish very precise uniform a priori estimates for degenerate complex Monge-Ampère equations on compact Kähler manifolds, that al…