The aim of this paper is to give necessary and sufficient conditions for an integral polynomial to be the characteristic polynomial of a semi-simple isometry of some even unimodular lattice of given signature. This result has applications applications to automorphisms of K3 surfaces; in particular, we show that every Salem number of degree 4, 6, 8,1 2, 14 or 16 is the dynamical degree of an automorphism of a non-projective K3 surface
AbstractFor a finite multigraph G, let Λ(G) denote the lattice of integer flows of G – this is a fin...
We give a complete description of the group of exact autoequivalences of the bounded derived categor...
The initial aim of this thesis consisted in determining automorphism groups and upper bounds on the ...
AbstractIn this paper we study the characteristic polynomials S(x)=det(xI−F|IIp,q) of automorphisms ...
In this paper we study the characteristic polynomials \(S(x)=\det(xI−F| II_{p,q})\) of automorphisms...
We will prove that there are infinitely many families of K3 surfaces which both admit a finite sympl...
For any odd characteristic p ≡ 2 mod 3, we exhibit an explicit automorphism on the supersingular K3 ...
We characterize Salem numbers which have some power arising as dynamical degree of an automorphism o...
We characterize the irreducible polynomials that occur as the characteristic polynomial of an automo...
AbstractThe aim of this paper is to give a characterisation of the determinants and signatures of in...
Let f be an automorphism of a complex Enriques surface Y and let pf denote the characteristic polyn...
AbstractThis paper concerns complex algebraic K3 surfaces with an automorphism which acts trivially ...
For an ordinary K3 surface over an algebraically closed field of positive characteristic we show tha...
Nikulin proved that the isometries induced on the second cohomology group of a K3 surface X by a fin...
For an ordinary K3 surface over an algebraically closed field of positive characteristic we show tha...
AbstractFor a finite multigraph G, let Λ(G) denote the lattice of integer flows of G – this is a fin...
We give a complete description of the group of exact autoequivalences of the bounded derived categor...
The initial aim of this thesis consisted in determining automorphism groups and upper bounds on the ...
AbstractIn this paper we study the characteristic polynomials S(x)=det(xI−F|IIp,q) of automorphisms ...
In this paper we study the characteristic polynomials \(S(x)=\det(xI−F| II_{p,q})\) of automorphisms...
We will prove that there are infinitely many families of K3 surfaces which both admit a finite sympl...
For any odd characteristic p ≡ 2 mod 3, we exhibit an explicit automorphism on the supersingular K3 ...
We characterize Salem numbers which have some power arising as dynamical degree of an automorphism o...
We characterize the irreducible polynomials that occur as the characteristic polynomial of an automo...
AbstractThe aim of this paper is to give a characterisation of the determinants and signatures of in...
Let f be an automorphism of a complex Enriques surface Y and let pf denote the characteristic polyn...
AbstractThis paper concerns complex algebraic K3 surfaces with an automorphism which acts trivially ...
For an ordinary K3 surface over an algebraically closed field of positive characteristic we show tha...
Nikulin proved that the isometries induced on the second cohomology group of a K3 surface X by a fin...
For an ordinary K3 surface over an algebraically closed field of positive characteristic we show tha...
AbstractFor a finite multigraph G, let Λ(G) denote the lattice of integer flows of G – this is a fin...
We give a complete description of the group of exact autoequivalences of the bounded derived categor...
The initial aim of this thesis consisted in determining automorphism groups and upper bounds on the ...