Fixed Loci of the Anticanonical Complete Linear Systems of Anticanonical Rational Surfaces

Autor: Rodríguez, Jesús Adrian Cerda, Failla, Gioia, Lahyane, Mustapha, Castro, Osvaldo Osuna

We determine the fixed locus of the anticanonical complete linear system of a given anticanonical rational surface. The case of a geometrically ruled rational surface is fully studied, e.g., the monoid of numerically effective divisor classes of such

Externí odkaz: http://arxiv.org/abs/1201.4881

Rational Surfaces with Anticanonical Divisor not Reduced

Autor: Rodriguez Jesús Adrian Cerda, Lahyane Mustapha, Osuna-Castro Osvaldo, Failla Gioia, Moreno-Mejia Israel

Publikováno v: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 21, Iss 3, Pp 229-240 (2013)

We prove the finite generation of the monoid of effective divisor classes on a smooth projective rational surface X endowed with an anticanonical divisor such that all its irreducible components are of multiplicity one except one which has multiplici

Externí odkaz: https://doaj.org/article/5740ab8108804b129a074e2e4e8d61ee

Eckardt surfaces

Autor: Utano, Rosanna, Lahyane, Mustapha, Frías-Medina, Juan Bosco, Failla, Gioia, De La Rosa-Navarro, Brenda Leticia

Publikováno v: Fundamenta Mathematicae. 243:195-208

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a0f885d884acbe0afbdd55254b0bec1c
https://doi.org/10.4064/fm424-12-2017

Exceptional curves on rational surfaces having K2⩾0

Autor: Lahyane, Mustapha

Publikováno v: In Comptes rendus - Mathématique 2004 338(11):873-878

A few examples of points of finite order on some smooth plane cubics

Autor: Failla, Gioia, Frías Medina, Juan Bosco, Lahyane, Mustapha

Publikováno v: Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, Vol 95, Iss 1, p S1 (2017)
Atti della Accademia Peloritana dei Pericolanti-Classe di Scienze Fisiche, Matematiche e Naturali; Vol 95, No 1 (2017); S1
Atti della Accademia Peloritana dei Pericolanti. Classe di Scienze Fisiche, Matematiche e Naturali; Vol 95, No 1 (2017); S1

In this expository article we give a self-contained presentation on the rational points of finite order on smooth cubics. We mainly construct examples of points of order between four and twelve, except the eleven case of course. And, in some cases, w

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::abdbbb297641d52f8702977596f1a229
https://doaj.org/article/3938100452064d0bac422dbdfca13a0e