Zobrazeno 1 - 10
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pro vyhledávání: '"Fichou, Goulwen"'
This paper develops the geometry of locally bounded rational functions on non-singular real algebraic varieties. First various basic geometric and algebraic results regarding these functions are established in any dimension, culminating with a versio
Externí odkaz:
http://arxiv.org/abs/2409.04232
We define the notion of central orderings for a general commutative ring $A$ which generalizes the notion of central points of irreducible real algebraic varieties. We study a central and a precentral loci which both live in the real spectrum of the
Externí odkaz:
http://arxiv.org/abs/2307.04430
We address the question of finding algebraic properties that are respectively equivalent, for a morphism between algebraic varieties over an algebraically closed field of characteristic zero, to be an homeomorphism for the Zariski topology and for a
Externí odkaz:
http://arxiv.org/abs/2203.09967
We compare the topological Milnor fibration and the motivic Milnor fibre of a regular complex function with only normal crossing singularities by introducing their common extension: the complete Milnor fibration. We give two equivalent constructions:
Externí odkaz:
http://arxiv.org/abs/2111.14881
Akademický článek
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We study the algebraic and geometric properties of the integral closure of different rings of functions on a real algebraic variety : the regular functions and the continuous rational functions.
Externí odkaz:
http://arxiv.org/abs/1810.07556
Autor:
Fichou, Goulwen, Yin, Yimu
We put forward in this paper a uniform narrative that weaves together several variants of Hrushovski-Kazhdan style integral, and describe how it can facilitate the understanding of the Denef-Loeser motivic Milnor fiber and closely related objects. Ou
Externí odkaz:
http://arxiv.org/abs/1810.03561
We study the substitution property for the ring R 0 (V) of continuous rational functions on a real algebraic affine variety V. We show that R 0 (V) satisfies a substitution property along points; moreover, when V is non-singular, it satisfies also a
Externí odkaz:
http://arxiv.org/abs/1806.11004
In this work we compare the semialgebraic subsets that are images of regulous maps with those that are images of regular maps. Recall that a map f : R n $\rightarrow$ R m is regulous if it is a rational map that admits a continuous extension to R n.
Externí odkaz:
http://arxiv.org/abs/1710.08276
We define the weak-normalization and the seminormalization of a real algebraic variety relative to its central locus. The study is related to the properties of the rings of continuous rational functions and hereditarily rational functions on real alg
Externí odkaz:
http://arxiv.org/abs/1706.04467