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Stability conditions and positivity of invariants of fibrations.

Autor
Barja, M.; Stoppino, L.
Tipus d'activitat
Article en revista
Revista
Springer Proceedings in Mathematics & Statistics
Data de publicació
2014
Volum
71
Pàgina inicial
1
Pàgina final
40
Projecte finançador
GEOMETRÍA DE VARIEDADES ALGEBRAICAS Y APLICACIONES
Geomatría algebraica, simpléctica, aritmética y aplicaciones.
Resum
We study three methods that prove the positivity of a natural numerical invariant associated to 1-parameter families of polarized varieties. All these methods involve different stability conditions. In dimension 2 we prove that there is a natural connection between them, related to a yet another st ability condition, the linear stability. Finally we make some speculations and prove new results in higher dimensions.
Paraules clau
Fibrations, slope, stalibity
Grup de recerca
GEOMVAP - Geometria de Varietats i Aplicacions

Participants