et le groupe de Brauer
of elliptic curves with sufficient torsion over
of Fermat curves with divisorial support at infinity
K... of the cone over a curve.
-théorie algébrique et représentations de groupes
-théorie bivariante de Kasparov
-theory of affine toric varieties.
-theory of log-schemes. I.
-theory of weight varieties.
conjecture for Artin groups
The purpose of this paper is to put together a large amount of results on the conjecture for Artin groups, and to make them accessible to non-experts. Firstly, this is a survey, containing basic definitions, the main results, examples and an historical overview of the subject. But, it is also a reference text on the topic that contains proofs of a large part of the results on this question. Some proofs as well as few results are new. Furthermore, the text, being addressed to non-experts, is as...
K2-Cohomology and the Second Chow Group.
K3 fibrations on rigid double octic Calabi-Yau threefolds
We give a description of the Picard group of double octic Calabi-Yau threefolds using a K3 fibration defined by a singular line of the branch octic. In particular, we show that the group is generated by the Picard group of a generic fibre and the subgroup generated by the components of the reducible fibres.
K3 surfaces: moduli spaces and Hilbert schemes.
K3 surfaces with a symplectic automorphism of order 11
k-affinoide Tor.
Kähler differentials of affine monomials curves.
Kähler manifolds with numerically effective Ricci class
Kähler-Einstein metrics on log del Pezzo surfaces in weighted projective 3-spaces
We determine all anticanonically embedded quasi smooth log del Pezzo surfaces in weighted projective 3-spaces. Many of these admit a Kähler-Einstein metric and most of them do not have tigers.
Karoubi’s relative Chern character and Beilinson’s regulator
We construct a variant of Karoubi’s relative Chern character for smooth varieties over and prove a comparison result with Beilinson’s regulator with values in Deligne-Beilinson cohomology. As a corollary we obtain a new proof of Burgos’ Theorem that for number fields Borel’s regulator is twice Beilinson’s regulator.
Kato homology of arithmetic schemes and higher class field theory over local fields.