Ageing in Germany: Content, Quality and Accessibility of Relevant Data Sources

Nowossadeck, Sonja; Wiest, Maja; Lühe, Josefine; Motel-Klingebiel, Andreas

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Title:: Advances in geometry

Publication:: Berlin [u.a.]: de Gruyter

Note:: Gesehen am 26.06.20

Scope:: Online-Ressource

ISSN:: 1615-7168

ZDB-ID:: 2043066-8

Keywords:: Geometrie ; Zeitschrift

Classification:: Mathematik

DDC Group:: 500 Naturwissenschaften

Collection:: Mathematik

Copyright:: Rights reserved

Accessibility:: Eingeschränkter Zugang mit Nutzungsbeschränkungen

Title:: Advances in geometry

Publication:: Berlin [u.a.]: de Gruyter

Note:: Gesehen am 26.06.20

Scope:: Online-Ressource

ISSN:: 1615-7168

ZDB-ID:: 2043066-8

Keywords:: Geometrie ; Zeitschrift

Classification:: Mathematik

DDC Group:: 500 Naturwissenschaften

Collection:: Mathematik

Copyright:: Rights reserved

Accessibility:: Eingeschränkter Zugang mit Nutzungsbeschränkungen

Article

Author:: Puentes, Andrés Jaramillo; Markwig, Hannah; Pauli, Sabrina; Röhrle, Felix

Title:: Arithmetic counts of tropical plane curves and their properties

Publication:: Berlin [u.a.]: de Gruyter, 2024

Language:: English

Information:: Abstract: Recently, the first and third author proved a correspondence theorem which recovers the Levine- Welschinger invariants of toric del Pezzo surfaces as a count of tropical curves weighted with arithmetic multiplicities. In this paper, we study properties of the arithmetic count ofplane tropical curves satisfying point conditions. We prove that this count is independent of the configuration of point conditions. Moreover, a Caporaso- Harris formula for the arithmetic count of plane tropical curves is obtained by moving one point to the very left. Repeating this process until all point conditions are stretched, we obtain an enriched count of floor diagrams which coincides with the tropical count. Finally, we prove polynomiality properties for the arithmetic counts using floor diagrams.

Scope:: Online-Ressource

Note:: Kein Open Access; Archivierung/Langzeitarchivierung gewährleistet

Keywords:: Gromov-Witten invariant ; Welschinger invariant ; tropical curve ; arithmetic count ; 14N10 ; 14N35 ; 14T20 ; 14T25 ; 14P99

Classification:: Mathematik; Sonstiges

URN:: urn:nbn:de:101:1-2410241558590.652770171486

Collection:: Mathematik; Sonstiges

Copyright:: Rights reserved

Accessibility:: Eingeschränkter Zugang mit Nutzungsbeschränkungen

Author:: Puentes, Andrés Jaramillo; Markwig, Hannah; Pauli, Sabrina; Röhrle, Felix

Title:: Arithmetic counts of tropical plane curves and their properties

Publication:: Berlin [u.a.]: de Gruyter, 2024

Language:: English

Information:: Abstract: Recently, the first and third author proved a correspondence theorem which recovers the Levine- Welschinger invariants of toric del Pezzo surfaces as a count of tropical curves weighted with arithmetic multiplicities. In this paper, we study properties of the arithmetic count ofplane tropical curves satisfying point conditions. We prove that this count is independent of the configuration of point conditions. Moreover, a Caporaso- Harris formula for the arithmetic count of plane tropical curves is obtained by moving one point to the very left. Repeating this process until all point conditions are stretched, we obtain an enriched count of floor diagrams which coincides with the tropical count. Finally, we prove polynomiality properties for the arithmetic counts using floor diagrams.

Scope:: Online-Ressource

Note:: Kein Open Access; Archivierung/Langzeitarchivierung gewährleistet

Keywords:: Gromov-Witten invariant ; Welschinger invariant ; tropical curve ; arithmetic count ; 14N10 ; 14N35 ; 14T20 ; 14T25 ; 14P99

Classification:: Mathematik; Sonstiges

URN:: urn:nbn:de:101:1-2410241558590.652770171486

Collection:: Mathematik; Sonstiges

Copyright:: Rights reserved

Accessibility:: Eingeschränkter Zugang mit Nutzungsbeschränkungen

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fullscreen : Ageing in Germany: Content, Quality and Accessibility of Relevant Data Sources / Nowossadeck, Sonja (Rights reserved) Access restriction There is no access restriction for this record. Copyright No licence for use has been granted - all rights reserved.

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