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5 papers · 2 filters
On a theorem of Faltings on formal functions
Paola Bonacini, Alessio del Padrone, Michele Nesci
In 1980, Faltings proved, by deep local algebra methods, a local result regarding formal functions which has the following global geometric fact as a consequence. Theorem: Let k be…
Geometry of syzygies via Poncelet varieties
Giovanna Ilardi, Paola Supino, Jean Vallès
We consider the Grassmannian of -dimensional linear subspaces of . We define as the classifying space of the…
Brill-Noether theory of curves on Enriques surfaces I: the positive cone and gonality
Andreas Leopold Knutsen, Angelo Felice Lopez
We study the existence of linear series on curves lying on an Enriques surface and general in their complete linear system. Using a method that works also below the Bogomolov-Reide…
Effective models and extension of torsors over a discrete valuation ring of unequal characteristic
Dajano Tossici
Let R be a discrete valuation ring of unequal characteristic with fraction field K which contains a primitive p^2-th root of unity. Let X be a faithfully flat R-scheme and G be a f…
A geometrical approach to Gordan--Noether's and Franchetta's contributions to a question posed by Hesse
Alice Garbagnati, Flavia Repetto
Hesse claimed that an irreducible projective hypersurface in $\PP^n$ defined by an equation with vanishing hessian determinant is necessarily a cone. Gordan and Noether proved that…