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math.AG2004
Holomorphic one-forms on varieties of general type
Christopher D. Hacon, Sándor J. Kovács
It has been conjectured that varieties of general type do not admit nowhere vanishing holomorphic one-forms. We confirm this conjecture for smooth minimal varieties and for varieti…
math.AG2004
Birational characterization of products of curves of genus 2
Christopher D. Hacon, Rita Pardini
Let X be a variety of maximal Albanese dimension. In this paper we prove that if χ(ω_X)=1 then the q(X)<=2dim X and if q(X)=2dim X, then X is birational to a product of curves of g…