Convexity of complements of tropical varieties, and approximations of currents
- Adiprasito, Karim Hebrew University of Jerusalem, Jerusalem, Israel
- Babaee, Farhad Département de Mathématiques, Université de Fribourg, Switzerland
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01.02.2019
Published in:
- Mathematische Annalen. - 2019, vol. 373, no. 1, p. 237–251
English
The goal of this note is to affirm a local version of conjecture of Nisse–Sottile [19] on higher convexity of complements of tropical varieties, while providing a family of counter-examples for the global Nisse–Sottle conjecture in any codimension and dimension higher than one. Moreover, it is shown that, surprisingly, this family also provides a family of counter-examples for the generalized Hodge conjecture for positive currents in these dimensions, and gives rise to further approximability obstruction.
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Mathématiques
- Language
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- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
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- RERO DOC 324678
- DOI 10.1007/s00208-018-1728-2
- Persistent URL
- https://folia.unifr.ch/unifr/documents/307591
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