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Generalized Clifford-Severi inequality and the volume of irregular varieties

Autor
Barja, M.
Tipus d'activitat
Document cientificotècnic
Data
2013-03-02
Codi
arXiv 1303.3045
Repositori
http://hdl.handle.net/2117/22384 Obrir en finestra nova
URL
http://arxiv.org/pdf/1303.3045.pdf Obrir en finestra nova
Resum
Preprint. Acceptat per publicar a Duke Math. J. We give a sharp lower bound for the selfintersection of a nef li ne bundle L on an irregular variety X in terms of its continuous global sections and the Albanese dim ension of X, which we call the Generalized Clifford-Severi inequality. We also extend the result to nef vector bundles and give a slope inequality for fibred irregular varieties. As a byproduct we obtain a lower b ound for the volume of irregular varieties; when X is of maximal Albane...
Citació
Barja, M. "Generalized Clifford-Severi inequality and the volume of irregular varieties". 2013.
Paraules clau
Severi inequality Slope maximal Albanese Varieties Volume
Grup de recerca
GEOMVAP - Geometria de Varietats i Aplicacions

Participants