Zobrazeno 1 - 10
of 73
pro vyhledávání: '"Huisman, Johannes A."'
We study the ring of rational functions admitting a continuous extension to the real affine space. We establish several properties of this ring. In particular, we prove a strong Nullstelensatz. We study the scheme theoretic properties and prove regul
Externí odkaz:
http://arxiv.org/abs/1112.3800
Autor:
Coppens, Marc, Huisman, Johannes
We consider coverings of real algebraic curves to real rational algebraic curves. We show the existence of such coverings having prescribed topological degree on the real locus. From those existence results we prove some results on Brill-Noether Theo
Externí odkaz:
http://arxiv.org/abs/1107.4998
We study the spaces of stable real and quaternionic vector bundles on a real algebraic curve. The basic relationship is established with unitary representations of an extension Z/2 by the fundamental group. By comparison with the space of real or qua
Externí odkaz:
http://arxiv.org/abs/0901.3071
Autor:
Huisman, Johannes, Mangolte, Frédéric
Publikováno v:
manuscripta mathematica 132 (2010) 1-17
Let X be a singular real rational surface obtained from a smooth real rational surface by performing weighted blow-ups. Denote by Aut(X) the group of algebraic automorphisms of X into itself. Let n be a natural integer and let e=[e_1,...,e_l] be a pa
Externí odkaz:
http://arxiv.org/abs/0804.3846
Autor:
Huisman, Johannes, Mangolte, Frédéric
Let X be a rational nonsingular compact connected real algebraic surface. Denote by Aut(X) the group of real algebraic automorphisms of X. We show that the group Aut(X) acts n-transitively on X, for all natural integers n. As an application we give a
Externí odkaz:
http://arxiv.org/abs/0708.3992
Autor:
Biswas, Indranil, Huisman, Johannes
Comessatti proved that the set of real points of a rational real algebraic surface is either a nonorientable surface, or the two-sphere, or the torus. Conversely, it is easy to see that all of these surfaces admit a rational real algebraic model. We
Externí odkaz:
http://arxiv.org/abs/math/0701402
Autor:
Huisman, Johannes, Mangolte, Frédéric
Publikováno v:
Annales de l'Institut Fourier 55 (2005) 2475-2487
Let M be a connected sum of finitely many lens spaces, and let N be a connected sum of finitely many copies of S^1xS^2. We show that there is a uniruled algebraic variety X such that the connected sum M#N of M and N is diffeomorphic to a connected co
Externí odkaz:
http://arxiv.org/abs/math/0412159
Autor:
Huisman, Johannes, Mangolte, Frédéric
We show that any orientable Seifert 3-manifold is diffeomorphic to a connected component of the set of real points of a uniruled real algebraic variety, and prove a conjecture of J\'anos Koll\'ar.
Externí odkaz:
http://arxiv.org/abs/math/0303167
Autor:
Huisman, Johannes
Publikováno v:
The American Mathematical Monthly, 2002 Apr 01. 109(4), 380-383.
Externí odkaz:
https://www.jstor.org/stable/2695502
