Abstract
We analyse the dynamics of the pullback of the map z \longmapsto z^m on the complex tori and toric varieties. We will observe that tropical objects naturally appear in the limit, and review several theorems in tropical geometry.
| Original language | English |
|---|---|
| Article number | 74 |
| Number of pages | 38 |
| Journal | Journal of Geometric Analysis |
| Volume | 33 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 9 Jan 2023 |
Bibliographical note
Funding Information:I’m grateful to Nessim Sibony for his invitation and hospitality in Orsay in July 2018, as well as, accepting my invitation to visit Bristol for two weeks as a Heilbronn distinguished visitor in September 2020. A visit which was postponed to September 2022 due to the pandemic, and sadly could not take place. I’m grateful to Charles Favre for several insightful discussions and his comments the text. I’m thankful to Omid Amini for numerous encouraging discussions. I also thank Roberto Gualdi for reading the draft, and delightful and fruitful discussions. I cordially thank Tien Cuong Dinh, for his comments on the first arXiv version of this article. I finally thank the anonymous referee(s) for their comments which have led to improvement of mathematics and exposition of the text.
Publisher Copyright:
© 2022, The Author(s).
Keywords
- Equidistribution
- Tropicalisation
- Tropical currents