5 citations · 11 across the 7 of their papers we have counts for
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A quantitative sharpening of Moriwaki's arithmetic Bogomolov inequality
Niko Naumann
A. Moriwaki proved the following arithmetic analogue of the Bogomolov unstability theorem. If a torsion-free hermitian coherent sheaf on an arithmetic surface has negative discrimi…
On the Structure of the Weil Restriction of Abelian Varieties
Claus Diem, N. Naumann
We give a description of endomorphism rings of Weil restrictions of abelian varieties with respect to finite Galois extensions. The results are applied to study the isogeny decompo…
Algebraic independence in the Grothendieck ring of varieties
N. Naumann
We give sufficient cohomological criteria for the classes of given varieties over a field to be algebraically independent in the Grothendieck ring of varieties over and con…
A motivic version of Pellikaan's two variable zeta function
F. Baldassarri, C. Deninger, N. Naumann
Combining the idea of motivic zeta function, due to Kapranov, and Pellikaan's definition of a two- variable zeta function for curves over finite fields in the present note we intro…
Representability of Aut_F and End_F
Niko Naumann
Recently N. Nitsure showed that for a coherent sheaf F on a noetherian scheme the automorphism functor Aut_F is representable if and only if F is locally free. Here we remove the n…
Linear relations among the values of canonical heights from the existence of non-trivial endomorphisms
Niko Naumann
We study the interplay between canonical heights and endomorphisms of an abelian variety over a number field . In particular we show that whenever the ring of endomorphisms…