The paper proves effective positivity of Hodge bundles for stable families and derives uniform lower bounds on volumes and automorphism groups, in terms only of dimension and allowed boundary coefficients.
Alexeev, Boundedness and K^2 for log surfaces, Internat
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Effective positivity of Hodge bundles and applications
The paper proves effective positivity of Hodge bundles for stable families and derives uniform lower bounds on volumes and automorphism groups, in terms only of dimension and allowed boundary coefficients.