M. Spivakovsky

works on

formal completion 1 key polynomials 1 limit key polynomials 1 local domains 1 local uniformization 1 MacLane theory 1 order type 1 tight extensions 1 transcendental extensions 1 valuation extensions 1 valued fields 1

From the 2 of 8 linked papers with an AI index.

activity

20242026

most citedKey polynomials for simple extensions of valued fields

20 citations · 20 across the 2 of their papers we have counts for

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math.AG2026★ 20 cited

Key polynomials for simple extensions of valued fields

F. J. Herrera Govantes, W. Mahboub, M. A. Olalla Acosta +1

The paper refines MacLane’s theory of key polynomials for simple transcendental extensions of rank‑1 valued fields, explicitly describing limit key polynomials and giving upper bou…

math.AG2024

Newton non-degenerate $I^¼$ -constant deformations admit simultaneous embedded resolutions

Maximiliano Leyton-Ãlvarez, Hussein Mourtada, Mark Spivakovsky

Let $C_{o}^{n + 1}$ denote the germ of $C^{n + 1}$ at the origin. Let $V$ be a hypersurface germ in $C_{o}^{n + 1}$ and $W$ a deformation of $V$ over $\mathbb{C}_{…

Key polynomials for simple extensions of valued fields

Newton non-degenerate I^¼-constant deformations admit simultaneous embedded resolutions

Newton non-degenerate $I^¼$ -constant deformations admit simultaneous embedded resolutions