α(X,Δ,L) and δ(X,Δ,L) are computed by quasi-monomial valuations for projective klt pairs over algebraically closed fields of char 0, without uncountability assumptions.
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Positivity of rank-g Picard bundles on g-fold symmetric products implies degree of irrationality bounds of 2^g for genus g Jacobians and 2^{2g-3} for (g-1)-dimensional Pryms.
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On the quasi-monomiality of the $\alpha$- and $\delta$-invariants
α(X,Δ,L) and δ(X,Δ,L) are computed by quasi-monomial valuations for projective klt pairs over algebraically closed fields of char 0, without uncountability assumptions.
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Picard bundles and the degree of irrationality of Jacobians and Pryms
Positivity of rank-g Picard bundles on g-fold symmetric products implies degree of irrationality bounds of 2^g for genus g Jacobians and 2^{2g-3} for (g-1)-dimensional Pryms.