6 citations · 12 across the 9 of their papers we have counts for
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A topos-theoretic view of difference algebra
Ivan Tomasic
We view difference algebra as the study of algebraic objects in the topos of difference sets. The methods of topos theory and categorical logic enable us to develop difference homo…
Strongly étale difference algebras and Babbitt's decomposition
Ivan Tomašić, Michael Wibmer
We introduce a class of strongly étale difference algebras, whose role in the study of difference equations is analogous to the role of étale algebras in the study of algebraic equ…
A twisted theorem of Chebotarev
Ivan Tomašić
We prove a function-field version of Chebotarev's density theorem in the framework of difference algebraic geometry by developing the notion of Galois coverings of generalised diff…
Multiplicity in difference geometry
Ivan Tomasic
We prove a first principle of preservation of multiplicity in difference geometry, paving the way for the development of a more general intersection theory. In particular, the fibr…
Twisted Galois stratification
Ivan Tomasic
We prove a direct image theorem stating that the direct image of a Galois formula by a morphism of difference schemes is equivalent to a Galois formula over fields with powers of F…