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The purpose of this paper is to define a new numerical invariant of valuations centered in a regular two-dimensional regular local ring. For this, we define a sequence of non-negative rational numbers δν = {δν(j)}j ≥ 0 which is determined by the proximity relations of the successive quadratic transformations at the points determined by a valuation ν. This sequence is characterized by seven combinatorial properties, so that any sequence of non-negative rational numbers having the above properties...

On rank $2$ semistable vector bundles over an irreducible nodal curve of genus $2$

Sonia Brivio (1998)

Bollettino dell'Unione Matematica Italiana

Sia $C$ una curva irriducibile nodale di genere aritmetico $p_{a} = 2$ . In queste note vogliamo mostrare come il sistema lineare delle quadriche, contenenti un opportuno modello proiettivo della curva, permette di descrivere i fibrati vettoriali semistabili, di rango $2$ , su $C$ .

On the classical characteristic linear series of plane curves with nodes and cuspidal points : two examples of Beniamino Segre

Allen Tannenbaum (1984)

Compositio Mathematica

On the existence of curves in $ℙ^{n}$ with stable normal bundle

Edoardo Ballico, Luciana Ramella (1999)

Annales Polonici Mathematici

We prove that for integers n,d,g such that n ≥ 4, g ≥ 2n and d ≥ 2g + 3n + 1, the general (smooth) curve C in $ℙ^{n}$ with degree d and genus g has a stable normal bundle $N_{C}$ .

Currently displaying 1 – 20 of 27

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On a class of rational cuspidal plane curves.

On deformations of monomial curves

On inflection points of some type of quartics with a single triple point

On inflection points of the plane quartic with two nodal and one flexnodal points

On multiplicities of points on Schubert varieties in Grassmannians.

On nodal plane curves.

On osculating cones and the Riemann-Kempf singularity theorem for hyperelliptic curves, trigonal curves, and smooth plane quintics

On plane curves with one place at infinity.

On proximity relations for valuations dominating a two-dimensional regular local ring.

On rank $2$ semistable vector bundles over an irreducible nodal curve of genus $2$

On Singularities of the Curves Belonging to some linear system in P2.

On Smoothable Curve Singularities: Local Methods.

On some algebraic and geometric extension of the theory of adjoints

On special values for pencils of plane curve singularities.

On supercuspidal families of curves on a surface in positive characteristic.

On the classical characteristic linear series of plane curves with nodes and cuspidal points : two examples of Beniamino Segre

On the existence of curves in $ℙ^{n}$ with stable normal bundle

On the homotopy of the complement to plane algebraic curves.

On the Invariants of Base Changes of Pencils of Curves, I.

On the Monodromy Group of Plane Curve Singularities.

Currently displaying 1 – 20 of 27