most citedSubadditivity of Kodaira dimension does not hold in positive characteristic

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math.AG2020★ 1 cited

Subadditivity of Kodaira dimension does not hold in positive characteristic

Paolo Cascini, Sho Ejiri, János Kollár +1

Over any algebraically closed field of positive characteristic, we construct examples of fibrations violating subadditivity of Kodaira dimension.

math.AG2017

Nori fundamental gerbe of essentially finite covers and Galois closure of towers of torsors

M. Antei, I. Biswas, M. Emsalem +2

We prove the existence of a Galois closure for towers of torsors under finite group schemes over a proper, geometrically connected and geometrically reduced algebraic stack ove…

math.AG2017

Birational characterization of abelian varieties and ordinary abelian varieties in characteristic p>0

Christopher D. Hacon, Zsolt Patakfalvi, Lei Zhang

Let be an algebraically closed field of characteristic . We give a birational characterization of ordinary abelian varieties over : a smooth projective variety is b…