On Tropical Intersection Theory
| Autor: | Mihatsch, Andreas |
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| Rok vydání: | 2021 |
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| Druh dokumentu: | Working Paper |
| Popis: | We develop a tropical intersection formalism of forms and currents that extends classical tropical intersection theory in two ways. First, it allows to work with arbitrary polytopes, also non-rational ones. Second, it allows for smooth differential forms as coefficients. The intersection product in our formalism can be defined through the diagonal intersection method of Allermann--Rau or the fan displacement rule. We prove with a limiting argument that both definitions agree. Comment: 22 pages, two noteworthy changes: added the definition of pullback for non-surjective maps (Def. 4.2), changed the sign of the boundary integral and boundary operator to conform with the literature convention ({\S}2.4, Def. 3.4) |
| Databáze: | arXiv |
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