Establishes an upper bound on ε(A,θ)/deg(C) via Gauss-Wahl map surjectivity properties, yielding a sharp Castelnuovo-type inequality for hyperelliptic curves on abelian varieties with equality cases characterized.
Pure Appl
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math.AG 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
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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Seshadri constants and hyperelliptic curves on abelian varieties
Establishes an upper bound on ε(A,θ)/deg(C) via Gauss-Wahl map surjectivity properties, yielding a sharp Castelnuovo-type inequality for hyperelliptic curves on abelian varieties with equality cases characterized.
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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.