| Autor: |
Lev Buhovsky, Iosif Polterovich, Leonid Polterovich, Egor Shelukhin, Vukašin Stojisavljević |
| Jazyk: |
angličtina |
| Rok vydání: |
2024 |
| Předmět: |
|
| Zdroj: |
Forum of Mathematics, Sigma, Vol 12 (2024) |
| Druh dokumentu: |
article |
| ISSN: |
2050-5094 |
| DOI: |
10.1017/fms.2024.49 |
| Popis: |
An example of Cornalba and Shiffman from 1972 disproves in dimension two or higher a classical prediction that the count of zeros of holomorphic self-mappings of the complex linear space should be controlled by the maximum modulus function. We prove that such a bound holds for a modified coarse count inspired by the theory of persistence modules originating in topological data analysis. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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