On the separation Łojasiewicz exponents of real analytic sets in the real plane
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915869631709184 |
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| author | Hoang, Phi Dung Nguyen, Hong Duc |
| author_facet | Hoang, Phi Dung Nguyen, Hong Duc |
| contents | The main aim of the paper is to give a formula for computing the separation Łojasiewicz exponents for two real analytic set germs via the Newton--Puiseux expansions of their defining functions. Moreover, we present an effective exponent for the case of two real algebraic sets in terms of their degrees. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_15532 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the separation Łojasiewicz exponents of real analytic sets in the real plane Hoang, Phi Dung Nguyen, Hong Duc Algebraic Geometry Complex Variables 14H20, 14B05, 32B05, 58K05 The main aim of the paper is to give a formula for computing the separation Łojasiewicz exponents for two real analytic set germs via the Newton--Puiseux expansions of their defining functions. Moreover, we present an effective exponent for the case of two real algebraic sets in terms of their degrees. |
| title | On the separation Łojasiewicz exponents of real analytic sets in the real plane |
| topic | Algebraic Geometry Complex Variables 14H20, 14B05, 32B05, 58K05 |
| url | https://arxiv.org/abs/2603.15532 |