Displaying similar documents to “The scheme of morphisms from an elliptic curve to a Grassmannian”

On the osculatory behaviour of higher dimensional projective varieties.

Edoardo Ballico, Claudio Fontanari (2004)

Collectanea Mathematica

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We explore the geometry of the osculating spaces to projective verieties of arbitrary dimension. In particular, we classify varieties having very degenerate higher order osculating spaces and we determine mild conditions for the existence of inflectionary points.

A limit linear series moduli scheme

Brian Osserman (2006)

Annales de l’institut Fourier

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We develop a new, more functorial construction for the basic theory of limit linear series, which provides a compactification of the Eisenbud-Harris theory. In an appendix, in order to obtain the necessary dimensional lower bounds on our limit linear series scheme we develop a theory of “linked Grassmannians”; these are schemes parametrizing sub-bundles of a sequence of vector bundles, which map into one another under fixed maps of the ambient bundles.

On the S-fundamental group scheme

Adrian Langer (2011)

Annales de l’institut Fourier

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We introduce a new fundamental group scheme for varieties defined over an algebraically closed (or just perfect) field of positive characteristic and we use it to study generalization of C. Simpson’s results to positive characteristic. We also study the properties of this group and we prove Lefschetz type theorems.