DC Field | Value | Language |
---|---|---|
dc.contributor.author | Goodman, JE | ko |
dc.contributor.author | Holmsen, Andreas F | ko |
dc.contributor.author | Pollack, R | ko |
dc.contributor.author | Ranestad, K | ko |
dc.contributor.author | Sottile, F | ko |
dc.date.accessioned | 2013-03-06T22:45:50Z | - |
dc.date.available | 2013-03-06T22:45:50Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2006 | - |
dc.identifier.citation | ADVANCES IN GEOMETRY, v.6, no.2, pp.301 - 321 | - |
dc.identifier.issn | 1615-715X | - |
dc.identifier.uri | http://hdl.handle.net/10203/88732 | - |
dc.description.abstract | In 1940, Luis Santalo proved a Helly-type theorem for line transversals to boxes in R-d. An analysis of his proof reveals a convexity structure for ascending lines in R-d that is isomorphic to the ordinary notion of convexity in a convex subset of R2d-2. This isomorphism is through a Cremona transformation on the Grassmannian of lines in P-d, Which enables a precise description of the convex hull and affine span of up to d ascending lines: the lines in such an affine span turn out to be the rulings of certain classical determinantal varieties. Finally, we relate Cremona convexity to a new convexity structure that we call frame convexity, which extends to arbitrary-dimensional flats in R-d. | - |
dc.language | English | - |
dc.publisher | WALTER DE GRUYTER CO | - |
dc.title | Cremona convexity, frame convexity and a theorem of Santalo | - |
dc.type | Article | - |
dc.identifier.wosid | 000238189700009 | - |
dc.identifier.scopusid | 2-s2.0-33646781916 | - |
dc.type.rims | ART | - |
dc.citation.volume | 6 | - |
dc.citation.issue | 2 | - |
dc.citation.beginningpage | 301 | - |
dc.citation.endingpage | 321 | - |
dc.citation.publicationname | ADVANCES IN GEOMETRY | - |
dc.identifier.doi | 10.1515/ADVGEOM.2006.018 | - |
dc.contributor.localauthor | Holmsen, Andreas F | - |
dc.contributor.nonIdAuthor | Goodman, JE | - |
dc.contributor.nonIdAuthor | Pollack, R | - |
dc.contributor.nonIdAuthor | Ranestad, K | - |
dc.contributor.nonIdAuthor | Sottile, F | - |
dc.type.journalArticle | Article | - |
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