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pro vyhledávání: '"Savi, Enrico"'
Autor:
Savi, Enrico
Let $L$ be the language of rings. We provide an axiomatization of the $L$-theories of quaternions and octonions and we characterize the models of mentioned theories: they coincide, up to isomorphism, to quaternion and octonion algebras over a real cl
Externí odkaz:
http://arxiv.org/abs/2404.04976
Autor:
Savi, Enrico
In 2020 Parusiński and Rond proved that every algebraic set X ⊂ R^n is homeomorphic to an algebraic set X’ ⊂ R^n which is described globally (and also locally) by polynomial equations whose coefficients are real algebraic numbers. In general,
Externí odkaz:
https://hdl.handle.net/11572/376727
Autor:
Savi, Enrico
We prove a relative version over $\mathbb{Q}$ of Nash-Tognoli theorem, that is: Let $M$ be a compact smooth manifold with closed smooth submanifolds $M_1,\dots,M_\ell$ in general position, then there exists a nonsingular real algebraic set $M'\subset
Externí odkaz:
http://arxiv.org/abs/2302.04673
Autor:
Ghiloni, Riccardo, Savi, Enrico
We prove that every real algebraic set $V\subset\mathbb{R}^n$ with isolated singularities is homeomorphic to a set $V'\subset\mathbb{R}^m$ that is $\mathbb{Q}$-algebraic in the sense that $V'$ is defined in $\mathbb{R}^m$ by polynomial equations with
Externí odkaz:
http://arxiv.org/abs/2302.04142
Autor:
Savi, Enrico
Publikováno v:
Eur. J. Math. 2024
In [4] Bierstone and Parusinski proved the existence of global smoothings for closed subanalytic sets, both in an embedded and a non-embedded sense. In particular, in the non-embedded desingularization procedure the authors construct smoothings of (g
Externí odkaz:
http://arxiv.org/abs/2210.06841
Autor:
Savi, Enrico
Publikováno v:
European Journal of Mathematics; Jun2024, Vol. 10 Issue 2, p1-6, 6p
Autor:
Savi, Enrico
A real algebraic set $V\subset\mathbb{R}^{n}$ is said to be a $\mathbb{Q}$-nonsingular $\mathbb{Q}$-algebraic set if it is described, both globally and locally, by polynomials with rational coefficients. We prove that every nonsingular real algebraic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e13679251fc8d2694feae79a1683c594