Bertini theorems revisited
Mainak Ghosh, Amalendu Krishna
TL;DR
This paper presents new Bertini theorems applicable over arbitrary fields and discrete valuation rings, expanding the theoretical understanding of generic properties of algebraic varieties.
Contribution
It introduces several novel Bertini theorems that generalize previous results to broader algebraic settings.
Findings
Proved new Bertini theorems over arbitrary fields.
Extended Bertini theorems to discrete valuation rings.
Enhanced the theoretical framework of algebraic geometry.
Abstract
We prove several new Bertini theorems over arbitrary fields and discrete valuation rings.
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Taxonomy
TopicsRings, Modules, and Algebras · Advanced Differential Equations and Dynamical Systems