Zobrazeno 1 - 10
of 63
pro vyhledávání: '"Hoffmann, Daniel Max"'
We show that if G is a simply connected semi-simple algebraic group and K is a model complete field, then the theory of the group G(K) is model complete as well.
Externí odkaz:
http://arxiv.org/abs/2312.08988
We slightly generalize a notion of rank introduced by Glasner and Megrelishvili, which captures the oscillations of elements of Ellis semigroups, so that it can be applied to any compact Hausdorff space instead of being limited to the metric case. Th
Externí odkaz:
http://arxiv.org/abs/2308.05477
Autor:
Hoffmann, Daniel Max, Kowalski, Piotr
We study model theory of actions of finite groups on substructures of a stable structure. We give an abstract description of existentially closed actions as above in terms of invariants and PAC structures. We show that if the corresponding PAC proper
Externí odkaz:
http://arxiv.org/abs/2301.11671
Autor:
Dobrowolski, Jan, Hoffmann, Daniel Max
We introduce a family of local ranks DQ depending on a finite set Q of pairs of the form (\varphi(x,y),q(y)) where \varphi(x,y) is a formula and q(y) is a global type. We prove that in any NSOP1 theory these ranks satisfy some desirable properties; i
Externí odkaz:
http://arxiv.org/abs/2111.02389
Let G be a finite group. We explore the model theoretic properties of the class of differential fields of characteristic zero in m commuting derivations equipped with a G-action by differential field automorphisms. In the language of G-differential r
Externí odkaz:
http://arxiv.org/abs/2012.14376
Autor:
Hoffmann, Daniel Max, Pillay, Anand
We discuss the role of weakly normal formulas in the theory of thorn forking, as part of a commentary on the paper "Thorn forking and stable forking" by Ealy and Onshuus (Rev. acad. colomb. cienc. exact. fis. nat. vol.40 no.157 Bogot\'a Oct./Dec. 201
Externí odkaz:
http://arxiv.org/abs/2006.15630
Autor:
Hoffmann, Daniel Max, Kowalski, Piotr
We study model theory of fields with actions of a fixed finite group scheme. We prove the existence and simplicity of a model companion of the theory of such actions, which generalizes our previous results about truncated iterative Hasse-Schmidt deri
Externí odkaz:
http://arxiv.org/abs/2006.03147
We classify the stable formulas in the theory of Dense Linear Orders without endpoints, the stable formulas in the theory of Divisible Abelian Groups, and the stable formulas without parameters in the theory of Real Closed Fields. The third result, u
Externí odkaz:
http://arxiv.org/abs/2004.10953
Autor:
Hoffmann, Daniel Max
An expository paper written down after RIMS Model Theory Workshop 2018. To appear in RIMS Kokyuroku.
Externí odkaz:
http://arxiv.org/abs/1905.09741
Autor:
Hoffmann, Daniel Max, Lee, Junguk
We achieve several results. First, we develop a variant of the theory of absolute Galois groups in the context of many sorted structures. Second, we provide a method for coding absolute Galois groups of structures, so they can be interpreted in some
Externí odkaz:
http://arxiv.org/abs/1905.09748