Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Primary 13A18"'
Autor:
Izhakian, Zur, Knebusch, Manfred
The category $STROP_m$ of supertropical monoids, whose morphisms are transmissions, has the full--reflective subcategory $STROP$ of commutative semirings. In this setup, quotients are determined directly by equivalence relations, as ideals are not ap
Externí odkaz:
http://arxiv.org/abs/2408.10772
Autor:
Polstra, Thomas
We introduce and explore the Uniform Izumi-Rees Property in Noetherian rings with applications to multiplicity theory and containment relationships among symbolic powers of ideals. As an application, we prove that if $R$ is a normal domain essentiall
Externí odkaz:
http://arxiv.org/abs/2406.00759
We study the notion of degeneration for affine schemes associated to systems of algebraic differential equations with coefficients in the fraction field of a multivariate formal power series ring. In order to do this, we use an integral structure of
Externí odkaz:
http://arxiv.org/abs/2309.10761
Autor:
Linzi, Alessandro
The main aim of this article is to study and develop valuation theory for Krasner hyperfields. In analogy with classical valuation theory for fields, we generalise the formalism of valuation rings to describe equivalence of valuations on hyperfields.
Externí odkaz:
http://arxiv.org/abs/2301.08639
In this paper we study the truncation $\nu_q$ of a valuation $\nu$ on a polynomial $q$. It is known that when $q$ is a key polynomial, then $\nu_q$ is a valuation. It is also known that the converse does not hold. We show that when $q$ is a key polyn
Externí odkaz:
http://arxiv.org/abs/2104.08609
Autor:
Ilten, Nathan, Mokhtar, Ahmad
We study the existence of Khovanskii-finite valuations for rational curves of arithmetic genus two. We provide a semi-explicit description of the locus of degree $n+2$ rational curves in $\mathbb{P}^n$ of arithmetic genus two that admit a Khovanskii-
Externí odkaz:
http://arxiv.org/abs/2101.09410
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Autor:
Mondal, Pinaki
We study two variants of the following question: "Given two finitely generated subalgebras R_1, R_2 of C[x_1, \ldots, x_n], is their intersection also finitely generated?" We show that the smallest value of $n$ for which there is a counterexample is
Externí odkaz:
http://arxiv.org/abs/1301.2730
Autor:
Mustata, Mircea, Nicaise, Johannes
We associate a weight function to pairs consisting of a smooth and proper variety X over a complete discretely valued field and a differential form on X of maximal degree. This weight function is a real-valued function on the non-archimedean analytif
Externí odkaz:
http://arxiv.org/abs/1212.6328
We complement two papers on supertropical valuation theory ([IKR1],[IKR2]) by providing natural examples of m-valuations (= monoid valuations), after that of supervaluations and transmissions between them. The supervaluations discussed have values in
Externí odkaz:
http://arxiv.org/abs/1104.2753