We use the language of multiplier ideals in order to relate the syzygies of an abelian variety in a suitable embedding with the local positivity of the line bundle inducing that embedding. This extends to higher syzygies a result of Hwang and To on projective normality.

Lazarsfeld, R., Pareschi, G., Popa, M. (2011). Local positivity, multiplier ideals, and syzygies of abelian varieties. ALGEBRA & NUMBER THEORY, 5(2), 185-196 [10.2140/ant.2011.5-2].

Local positivity, multiplier ideals, and syzygies of abelian varieties

PARESCHI, GIUSEPPE;
2011-01-01

Abstract

We use the language of multiplier ideals in order to relate the syzygies of an abelian variety in a suitable embedding with the local positivity of the line bundle inducing that embedding. This extends to higher syzygies a result of Hwang and To on projective normality.
2011
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/03 - GEOMETRIA
English
Con Impact Factor ISI
Seshadri constants; syzygies; abelian varieties;
http://msp.org/ant/2011/5-2/p02.xhtml
Lazarsfeld, R., Pareschi, G., Popa, M. (2011). Local positivity, multiplier ideals, and syzygies of abelian varieties. ALGEBRA & NUMBER THEORY, 5(2), 185-196 [10.2140/ant.2011.5-2].
Lazarsfeld, R; Pareschi, G; Popa, M
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/91250
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