Results 11 to 20 of about 840,424 (97)
Formal Groups and $Z$-Entropies [PDF]
We shall prove that the celebrated R\'enyi entropy is the first example of a new family of infinitely many multi-parametric entropies. We shall call them the $Z$-entropies.
Tempesta, Piergiulio
core +3 more sources
Formal Groups and Hopf Algebras over Discrete Rings [PDF]
A theory of formal schemes and groups over abitrary rings is presented. The flat formal schemes in this theory have coalgebras of distributions which behave in the usual way. Frobenius and Verschiebung maps are studied.
Morris, R. A., Pareigis, Bodo
core +1 more source
Existentially closed fields with G-derivations [PDF]
We prove that the theories of fields with Hasse-Schmidt derivations corresponding to actions of formal groups admit model companions. We also give geometric axiomatizations of these model companions.Comment: In version 2: new proof of (the current ...
Hoffmann, Daniel, Kowalski, Piotr
core +1 more source
A Simpson Correspondence for Abelian Varieties in Positive Characteristic [PDF]
Let X/C be a smooth projective variety over the complex numbers. In the early 90's, Simpson established an equivalence between the category of local systems and that of the semi-stable Higgs bundles whose Chern class is zero.
Hao, Yun
core +1 more source
We show that a large class of formal groups can be realised functorially by even periodic ring spectra. The main advance is in the construction of morphisms, not of objects.Comment: Published by Algebraic and Geometric Topology at http://www.maths ...
Elmendorf +3 more
core +2 more sources
Reduced Steenrod operations and resolution of singularities
We give a new construction of a weak form of Steenrod operations for Chow groups modulo a prime number p for a certain class of varieties. This class contains projective homogeneous varieties which are either split or over a field admitting some form of ...
Elman +6 more
core +1 more source
Monopoles, noncommutative gauge theories in the BPS limit and some simple gauge groups [PDF]
For three conspicuous gauge groups, namely, SU(2), SU(3) and SO(5), and at first order in the noncommutative parameter matrix h\theta^{\mu\nu}, we construct smooth monopole --and, some two-monopole-- fields that solve the noncommutative Yang-Mills-Higgs ...
A. Hashimoto +13 more
core +2 more sources
Chern-Simons, Wess-Zumino and other cocycles from Kashiwara-Vergne and associators
Descent equations play an important role in the theory of characteristic classes and find applications in theoretical physics, e.g. in the Chern-Simons field theory and in the theory of anomalies.
Alekseev, Anton +3 more
core +1 more source
On the relation of Voevodsky's algebraic cobordism to Quillen's K-theory
Quillen's algebraic K-theory is reconstructed via Voevodsky's algebraic cobordism. More precisely, for a ground field k the algebraic cobordism P^1-spectrum MGL of Voevodsky is considered as a commutative P^1-ring spectrum.
F. Morel +7 more
core +1 more source
The singularity category and duality for complete intersection groups
Abstract If G$G$ is a finite group, the structure of the modular representation theory depends on the cochains C∗(BG;k)$C^*(BG; k)$, viewed as a commutative ring spectrum. We consider here its singularity category (in the sense of the author and Stevenson [Adv. Math.
J. P. C. Greenlees
wiley +1 more source

