Timeline for Is there a direct translation between Tropical and Algebraic geometry?
Current License: CC BY-SA 4.0
4 events
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| Dec 20, 2023 at 15:53 | vote | accept | mijucik | ||
| Dec 20, 2023 at 14:38 | comment | added | Timothy Chow | @mijucik There is no succinct answer to your last question. Gathmann's paper illustrates that even in the restricted setting of plane curves, it is not trivial to elucidate the "bridge." A full answer to your question could fill an entire book. | |
| Dec 20, 2023 at 9:50 | comment | added | mijucik | I am aware that there exist these connections. I'm wondering, however, about where we are in terms of this "ideally". If I come up with a new construction in Algebraic Geometry, is there a standard recipe to follow to find the combinatorial counterpart in Tropical Geometry and vice versa? To what extent has this bridge between Algebraic Geometry and Combinatorics been built, and how easy is it to build these bridges? | |
| Dec 20, 2023 at 8:39 | history | answered | Carlo Beenakker | CC BY-SA 4.0 |