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A tropical approach to nonarchimedean Arakelov geometry

Gubler, Walter and Künnemann, Klaus (2017) A tropical approach to nonarchimedean Arakelov geometry. Algebra & Number Theory 11 (1), pp. 77-180.

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Other URL: http://doi.org/10.2140/ant.2017.11.77


Abstract

Chambert-Loir and Ducros have recently introduced a theory of real valued differential forms and currents on Berkovich spaces. In analogy to the theory of forms with logarithmic singularities, we enlarge the space of differential forms by so called delta-forms on the nonarchimedean analytification of an algebraic variety. This extension is based on an intersection theory for tropical cycles with ...

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Item type:Article
Date:2017
Institutions:Mathematics > Prof. Dr. Klaus Künnemann
Mathematics > Prof. Dr. Walter Gubler
Identification Number:
ValueType
10.2140/ant.2017.11.77DOI
Keywords:ANALYTIC SPACES; PIECEWISE POLYNOMIALS; INTERSECTION THEORY; VARIETIES; SUBVARIETIES; HEIGHTS; differential forms on Berkovich spaces; Chambert-Loir measures; tropical intersection theory; nonarchimedean Arakelov theory
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:38487
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