Zobrazeno 1 - 10
of 886
pro vyhledávání: '"Fluckiger P"'
Autor:
Bayer-Fluckiger, Eva
Following Valloni, we study complex projective K3 surfaces having complex multiplication by rings of integers.
Externí odkaz:
http://arxiv.org/abs/2408.11643
Let $E$ be a totally real number field of degree $d$ and let $m \geqslant 3$ be an integer. We show that if $md \leqslant 21$ then there exists an $(m-2)$-dimensional family of complex projective $K3$ surfaces with real multiplication by $E$. Analogo
Externí odkaz:
http://arxiv.org/abs/2401.04072
Autor:
Bayer-Fluckiger, Eva
Let X be a complex projective K3 surface, and let T(X) be its transcendental lattice; the characteristic polynomials of the isometries of T(X) induced by automorphisms of X are powers of cyclotomic polynomials. Which powers of cyclotomic polynomials
Externí odkaz:
http://arxiv.org/abs/2305.10995
Autor:
Bayer-Fluckiger, Eva
Every Salem numbers of degree 4,6,8,12,14 or 16 is the dynamical degree of an automorphism of a non-projective K3 surface. We define a notion of signature of an automorphism, and use it to give a necessary and sufficient condition for Salem numbers o
Externí odkaz:
http://arxiv.org/abs/2209.06698
Autor:
Bayer-Fluckiger, Eva
We give necessary and sufficient conditions for an integer to be the signature of a (4q-1)-knot in the (4q+1)-sphere with a given square-free Alexander polynomial.
Externí odkaz:
http://arxiv.org/abs/2202.03027
Autor:
Bayer-Fluckiger, Eva, Lee, Ting-Yu
Let $k$ be a field, and let $L$ be an \'etale k-algebra of finite rank. If $a$ is a nonzero element in $k$, let $X_a$ be the affine variety defined by the norm equation $N_{L/k}(x) = a$. Assuming that $L$ has at least one factor that is a cyclic fiel
Externí odkaz:
http://arxiv.org/abs/2110.05993
The aim of this paper is to revisit the question of local-global principles for embeddings of \'etale algebras with involution into central simple algebras with involution over global fields of characteristic not 2. A necessary and sufficient conditi
Externí odkaz:
http://arxiv.org/abs/2109.12532
Autor:
Bayer-Fluckiger, Eva
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 application
Externí odkaz:
http://arxiv.org/abs/2107.07583
Autor:
Bayer-Fluckiger, Eva
The aim of this note is to revisit the question of local-global principles for embeddings of etale algebras with involution into central simple algebras with involution over global fields of characteristic not 2. A necessary and sufficient condition
Externí odkaz:
http://arxiv.org/abs/2005.06996
Autor:
Bayer-Fluckiger, Eva, Parimala, Raman
In this paper we introduce a method to obtain algebraic information using arithmetic one in the study of tori and their principal homogeneous spaces. In particular, using some results of the authors with Tingyu Lee, we determine the unramified Brauer
Externí odkaz:
http://arxiv.org/abs/2004.08850