Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Bernhard Köck"'
Autor:
Bernhard Köck, Tom Harris
Exterior power operations on the higher $K$-groups of a quasi-compact scheme have recently been constructed by Taelman and the authors by purely algebraic means. In this paper, we prove two formulae that help to compute these operations. The first is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cb1f5615374bebfa7b67ecec53dfd2e5
https://eprints.soton.ac.uk/427578/
https://eprints.soton.ac.uk/427578/
Publikováno v:
Homology, Homotopy and Applications
We modify Grayson's model of $K_1$ of an exact category to give a presentation whose generators are binary acyclic complexes of length at most $k$ for any given $k \ge 2$. As a corollary, we obtain another, very short proof of the identification of N
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6baebbefc7440e6f2d72f21a9b9a0fd6
http://arxiv.org/abs/1811.10954
http://arxiv.org/abs/1811.10954
Autor:
Joseph Tait, Bernhard Köck
Publikováno v:
Research in Number Theory. 4
For any hyperelliptic curve X, we give an explicit basis of the first de-Rham cohomology of X in terms of ��ech cohomology. We use this to produce a family of curves in characteristic p>2 for which the Hodge-de-Rham short exact sequence does not
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a4aab50870c7d45881b6476d00add055
https://doi.org/10.1007/s40993-018-0111-4
https://doi.org/10.1007/s40993-018-0111-4
Publikováno v:
Ann. K-Theory 2, no. 3 (2017), 409-450
Annals of K-theory, 2(3), 409-450. Mathematical Science Publishers
Annals of K-theory, 2(3), 409-450. Mathematical Science Publishers
We use Grayson's binary multicomplex presentation of algebraic $K$-theory to give a new construction of exterior power operations on the higher $K$-groups of a (quasi-compact) scheme. We show that these operations satisfy the axioms of a $\lambda$-ri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::afa1a0e76f14da68209cd0598c7af62d
Autor:
Aristides Kontogeorgis, Bernhard Köck
Publikováno v:
Annales de l’institut Fourier. 62:1015-1043
Given a finite p-group G acting on a smooth projective curve X over an algebraically closed field k of characteristic p, the dimension of the tangent space of the associated equivariant deformation functor is equal to the dimension of the space of co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e4a9f918bccd3456153b395335ada4de
https://doi.org/10.5802/aif.2715
https://doi.org/10.5802/aif.2715
Autor:
Joseph Tait, Bernhard Köck
Given a faithful action of a finite group G on an algebraic curve X of genus g_X > 1, we give explicit criteria for the induced action of G on the Riemann-Roch space H^0(X,O_X(D)) to be faithful, where D is a G-invariant divisor on X of degree at lea
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::74276822a1c02eabcbf5634784e86cbe
https://eprints.soton.ac.uk/364271/
https://eprints.soton.ac.uk/364271/
Autor:
Thomas Baumgartl, Bernhard Köck
Publikováno v:
Soil Science Society of America Journal. 68:57-65
Volume change of soils may be caused either by external (mechanical) or internal (hydraulic) stresses or a combination of both. A complete description of volume change must therefore include both mechanical and hydraulic stresses. By coupling theorie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::482bfd5d73fc59bf373791bba18f8677
https://doi.org/10.2136/sssaj2004.5700
https://doi.org/10.2136/sssaj2004.5700
Autor:
Bernhard Köck
Publikováno v:
American Journal of Mathematics. 126:1085-1107
We compute equivariant Euler characteristics of locally free sheaves on curves, thereby generalizing several results of Kani and Nakajima. For instance, we extend Kani's computation of the Galois module structure of the space of global meromorphic di
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::48a9b1aba7f6af3a6231a6c563bedf64
https://doi.org/10.1353/ajm.2004.0037
https://doi.org/10.1353/ajm.2004.0037
Autor:
Bernhard Köck
Publikováno v:
Compositio Mathematica. 124:195-217
We prove a certain Riemann–Roch-type formula for symmetric powers of Galois modules on Dedekind schemes which, in the number field or function field case, specializes to a formula of Burns and Chinburg for Cassou–Nogues–Taylor operations.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d3c6ab567358518a801630bb87b9ba47
https://doi.org/10.1023/a:1026579331113
https://doi.org/10.1023/a:1026579331113
Autor:
Bernhard Köck
Publikováno v:
Annales Scientifiques de l’École Normale Supérieure. 31:415-458
Let G be a group or a group scheme. We establish formulas for the equivariant Euler characteristic of locally free G-modules on a projective G-scheme X: We prove an Adams- Riemann-Roch theorem and, under a certain continuity assumption for the push-f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5fe837f52d873769c6a808f576cbd8bf
https://doi.org/10.1016/s0012-9593(98)80140-7
https://doi.org/10.1016/s0012-9593(98)80140-7