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A short note on Seshadri constants and packing constants

Halszka Tutaj-Gasińska (2012)

Annales Polonici Mathematici

The note is about a connection between Seshadri constants and packing constants and presents another proof of Lazarsfeld's result from [Math. Res. Lett. 3 (1996), 439-447].

Algebraic bounds on analytic multiplier ideals

Brian Lehmann (2014)

Annales de l’institut Fourier

Given a pseudo-effective divisor L we construct the diminished ideal 𝒥 σ ( L ) , a “continuous” extension of the asymptotic multiplier ideal for big divisors to the pseudo-effective boundary. Our main theorem shows that for most pseudo-effective divisors L the multiplier ideal 𝒥 ( h min ) of the metric of minimal singularities on 𝒪 X ( L ) is contained in 𝒥 σ ( L ) . We also characterize abundant divisors using the diminished ideal, indicating that the geometric and analytic information should coincide.

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