THE GEOMETRY OF LOCALLY BOUNDED RATIONAL FUNCTIONS
Overview & Synopsis
This paper develops the geometry of locally bounded rational functions on non-singular real algebraic varieties. First various basic geometric and algebraic results regarding these functions are established in any dimension, culminating with a version of Lojasiewicz's inequality. The geometry is further developed for the case of dimension 2, where it can be shown that there exist many of the usual correspondences between the algebra and geometry of these functions that one expects from complex algebraic geometry and from other classes of functions in real algebraic geometry such as regulous functions.
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Document Information
| Document Title | THE GEOMETRY OF LOCALLY BOUNDED RATIONAL FUNCTIONS |
|---|---|
| Author / Organization | Victor Delage, Goulwen Fichou, Aftab Patel |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2025 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-140044 |
| Original Source Link | Visit Source Page on hal.science » |