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arXiv · 2208.00254

Bertini theorems admitting base changes

Hiromu Tanaka
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Abstract

Given a base point free linear system on an algebraic variety, many classes of singularities are stable under taking suitable members after enlarging the base field. We establish analogous results when the base ring is an excellent ring.

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Hiromu Tanaka. 2022-07-30. Bertini theorems admitting base changes. https://arxiv.org/abs/2208.00254

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