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arXiv · 2507.22290

Non-Affine Stein Manifolds and Normal Crossing Divisors

Randall R. Van Why
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Abstract

We show that there are Stein manifolds that admit normal crossing divisor compactifications despite being neither affine nor quasi-projective. To achieve this, we study the contact boundaries of neighborhoods of symplectic normal crossing divisors via a contact-geometric analog of W. Neumann's plumbing calculus. In particular, we give conditions under which the neighborhood is determined by the contact structure on its boundary.

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Randall R. Van Why. 2025-07-29. Non-Affine Stein Manifolds and Normal Crossing Divisors. https://arxiv.org/abs/2507.22290

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