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pro vyhledávání: '"Raquel Mallavibarrena"'
Autor:
Antonio Lanteri, Raquel Mallavibarrena
Publikováno v:
Advances in Geometry. 21:281-292
Polarized rational surfaces $(X, \mathcal L)$ of sectional genus two ruled in conics are studied. When they are not minimal, they are described as the blow-up of $\mathbb F_1$ at some points lying on distinct fibers. Ampleness and very ampleness of $
Autor:
Raquel Mallavibarrena, Antonio Lanteri
Publikováno v:
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry. 63:133-147
The study of the interplay between rational conic fibrations and their enveloping projective bundles is carried on to cover the sectional genus three case. Moreover, a complete description of rational conic fibrations containing a line or a conic or
Publikováno v:
Journal of Algebra. 508:589-591
Autor:
Antonio Lanteri, Raquel Mallavibarrena
Publikováno v:
Journal of Pure and Applied Algebra. 224:106429
Motivated by previous research on the osculation for special varieties, we investigate rational conic fibrations in connection with their enveloping projective bundles with the aim of comparing their inflectional loci. Specific existence results for
Autor:
Raquel Mallavibarrena, Antonio Lanteri
Publikováno v:
Journal of Pure and Applied Algebra. 220:2852-2878
Smooth projective surfaces fibered in conics over a smooth curve are investigated with respect to their k-th osculatory behavior. Due to the bound for the dimension of their osculating spaces they do not differ at all from a general surface for k = 2
Publikováno v:
Indiana University Mathematics Journal. 61:717-750
Let X subset of P-N be a scroll over an m-dimensional variety Y. We find the locally free sheaves on X governing the osculating behavior of X, and, under certain dimension assumptions, we compute the cohomology class and the degree of the inflectiona
Publikováno v:
Mathematische Zeitschrift. 258:557-564
Let $X\subset \mathbb P^N$ be a scroll over a smooth curve $C$ and let $\L=\mathcal O_{\mathbb P^N}(1)|_X$ denote the hyperplane bundle. The special geometry of $X$ implies that some sheaves related to the principal part bundles of $\L$ are locally f
Quadric flbrations over smooth curves are investigated with respect to their osculatory behavior. In particular, bounds for the dimensions of the osculating spaces are determined, and explicit formulas for the classes of the inflectional loci are exh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::641f774df80fc3df9333132c76aef207
http://hdl.handle.net/10852/55638
http://hdl.handle.net/10852/55638
Publikováno v:
Communications in Algebra. 31:3829-3845
The main objects of this paper are osculating spaces of order m to smooth algebraic curves, with the property of meeting the curve again. We prove that the only irreducible curves with an infinite number of this type of osculating spaces of order m a
Autor:
Antonio Lanteri, Raquel Mallavibarrena
Publikováno v:
Archiv der Mathematik. 75:75-80
We prove that, if a smooth complex projective surface \(S \subset \Bbb P^N\) is k-regular, then its k-th order dual variety has the expected dimension, except if S is the k-th Veronese surface. This answers positively a conjecture stated in a previou