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Dill, Gabriel Andreas
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Dill, Gabriel Andreas
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gabriel.dill@unine.ch
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Voici les éléments 1 - 9 sur 9
- PublicationAccès libreOn a Galois property of fields generated by the torsion of an abelian variety(2024)
- PublicationAccès libreOn Morphisms Between Connected Commutative Algebraic Groups over a Field of Characteristic 0(2024)Let K be a field of characteristic 0 and let G and H be connected commutative algebraic groups over K. Let Mor_0(G,H) denote the set of morphisms of algebraic varieties G → H that map the neutral element to the neutral element. We construct a natural retraction from Mor_0(G,H) to Hom(G,H) (for arbitrary G and H) which commutes with the composition and addition of morphisms. In particular, if G and H are isomorphic as algebraic varieties, then they are isomorphic as algebraic groups. If G has no non-trivial unipotent group as a direct factor, we give an explicit description of the sets of all morphisms and isomorphisms of algebraic varieties between G and H. We also characterize all connected commutative algebraic groups over K whose only variety automorphisms are compositions of automorphisms of algebraic groups with translations.
- PublicationAccès libreOn the Zilber-Pink conjecture for complex abelian varieties(2022)
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