A tropical approach to secant dimensions

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A Tropical Approach to Secant Dimensions

Tropical geometry yields good lower bounds, in terms of certain combinatorialpolyhedral optimisation problems, on the dimensions of secant varieties. In particular, it gives an attractive pictorial proof of the theorem of Hirschowitz that all Veronese embeddings of the projective plane except for the quadratic one and the quartic one are non-defective; this proof might be generalisable to cover...

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ژورنال

عنوان ژورنال: Journal of Pure and Applied Algebra

سال: 2008

ISSN: 0022-4049

DOI: 10.1016/j.jpaa.2007.05.022