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Symmetric polynomials and divided differences in formulas of intersection theory

Piotr Pragacz (1996)

Banach Center Publications

The goal of this paper is at least two-fold. First we attempt to give a survey of some recent (and developed up to the time of the Banach Center workshop Parameter Spaces, February '94) applications of the theory of symmetric polynomials and divided differences to intersection theory. Secondly, taking this opportunity, we complement the story by either presenting some new proofs of older results (and this takes place usually in the Appendices to the present paper) or providing some new results which...

Symplectic bundles over affine surfaces.

R. Parimala, M. Ojanguren (1986)

Commentarii mathematici Helvetici

Systèmes linéaires adjoints $L^{2}$

Philippe Eyssidieux (1999)

Annales de l'institut Fourier

Nous développons une version de la théorie d’indice $L^{2}$ d’Atiyah pour les faisceaux cohérents sur les variétés algébriques lisses et l’utilisons pour attaquer certaines questions de J. Kollár.Soit $X$ une variété complexe compacte projective algébrique lisse et connexe. Nous prouvons que si $L$ est un diviseur nef et gros, tel que la restriction de $K_{X} + L$ à la fibre générale d’une application de Shafarevich est effective, $K_{X} + L$ est effectif.Soit $X$ une variété kählérienne compacte telle qu’il existe une classe...

Systèmes pluricanoniques sur l’espace des modules des courbes et diviseurs de courbes $k$ -gonales

Maurizio Cornalba (1983/1984)

Séminaire Bourbaki

Syzygies and logarithmic vector fields along plane curves

Alexandru Dimca, Edoardo Sernesi (2014)

Journal de l’École polytechnique — Mathématiques

We investigate the relations between the syzygies of the Jacobian ideal of the defining equation for a plane curve $C$ and the stability of the sheaf of logarithmic vector fields along $C$ , the freeness of the divisor $C$ and the Torelli properties of $C$ (in the sense of Dolgachev-Kapranov). We show in particular that curves with a small number of nodes and cusps are Torelli in this sense.

Syzygies and the Abel-Jacobi map for cyclic coverings.

Stefan Müller-Stach (1994)

Manuscripta mathematica

Syzygies of Canonical Curves and Special Linear Series.

F.-O. Schreyer (1986)

Mathematische Annalen