Dimension of linear systems: a combinatorial and differential approach

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dc.creatorEvain, L.
dc.date1997-09-29
dc.date.accessioned2026-07-07T09:07:27Z
dc.date.available2026-07-07T09:07:27Z
dc.descriptionWe give upper-bounds for the dimension of some linear systems. The theorem improves the differential Horace method introduced by Alexander-Hirschowitz, and was conjectured by Simpson. Possible applications are the calculus of the dimension of linear systems of hypersurfaces in a projective space $\PP^n$ with generically prescribed singularities, and the calculus of collisions of fat points in $\PP^2$. These applications will be treated independently but a simple example in the introduction explains how the theorem will be used.
dc.description17 pages, in french, also available at http://193.49.162.129/~evain/home.html
dc.identifierhttps://arxiv.org/abs/alg-geom/9709032
dc.identifierhttp://arxiv.org/abs/alg-geom/9709032
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150379
dc.subjectAlgebraic Geometry
dc.titleDimension of linear systems: a combinatorial and differential approach
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