Linearly normal curves in and .
Linearly Normal Curves in P^n
2000 Mathematics Subject Classification: 14H45, 14H50, 14J26.We construct linearly normal curves covering a big range from P^n, n ≥ 6 (Theorems 1.7, 1.9). The problem of existence of such algebraic curves in P^3 has been solved in [4], and extended to P^4 and P^5 in [10]. In both these papers is used the idea appearing in [4] and consisting in adding hyperplane sections to the curves constructed in [6] (for P^3) and [15, 11] (for P^4 and P^5) on some special surfaces. In the present paper we apply...
Maximal rank curves and singular points of the Hilbert scheme
Minimalité des courbes sous-canoniques
Soient un fibré de rang 2 sur l’espace projectif de dimension 3 sur un corps algébriquement clos et un entier tel que et . Toute courbe schéma des zéros d’une section non nulle de est une courbe minimale dans sa classe de biliaison.
Mirror symmetry and toric geometry.
Multiplication of sections of stable vector bundles: the injectivity range.
Několik poznámek o pectenoidu
Neuer Beweis des Satzes, dass nicht jeder Curve vierter Ordnung ein Fünfseit eingeschrieben werden kann
New evidence for Green's conjecture on syzygies of canonical curves
No rational nonsingular quartic curve can be set-theoretic complete intersection on a cubic surface
Non-obstructed subcanonical space curves.
Recall that a closed subscheme X ⊂ P is non-obstructed if the corresponding point x of the Hilbert scheme Hilbp(t)n is non-singular. A geometric characterization of non-obstructedness is not known even for smooth space curves. The goal of this work is to prove that subcanonical k-Buchsbaum, k ≤ 2, space curves are non-obstructed. As a main tool we use Serre's correspondence between subcanonical curves and vector bundles.
Non-reflexive projective curves of low degree.
Note sur la construction des normales à l'ellipse
Number of singular points of an annulus in
Using BMY inequality and a Milnor number bound we prove that any algebraic annulus in with no self-intersections can have at most three cuspidal singularities.
O některých křivkách z kuželosečky odvozených
O racionálných čárách v rovině
O rovinných racionálních křivkách třetího stupně. [I.]
O rovinných racionálních křivkách třetího stupně. [II.]
O rovinných racionálních křivkách třetího stupně. [III.]
O základních vlastnostech křivek podobných