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Smooth projective surfaces with infinitely many real forms
Tien-Cuong Dinh, Cécile Gachet, Hsueh-Yung Lin +3
The aim of this paper is twofold. First of all, we confirm a few basic criteria of the finiteness of real forms of a given smooth complex projective variety, in terms of the Galois…
Nef cones of fiber products and an application to the Cone Conjecture
Cécile Gachet, Hsueh-Yung Lin, Long Wang
We prove a decomposition theorem for the nef cone of smooth fiber products over curves, subject to the necessary condition that their Néron--Severi space decomposes. We apply it to…
Positivity of higher exterior powers of the tangent bundle
Cécile Gachet
We prove that a smooth projective variety of dimension with strictly nef third, fourth or -th exterior power of the tangent bundle is a Fano variety. Moreover, in th…
Finite quotients of abelian varieties with a Calabi-Yau resolution
Cécile Gachet
Let be an abelian variety, and a finite group acting freely in codimension two. We discuss whether the singular quotient admits a resolution that is a…