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Projective Differential Geometry

1999
In this chapter we give a discussion of projective submanifolds in general, and revisit a few examples (quadrics, in particular) that are important for a number of different reasons. We use thee technique of moving frames a la Elie Cartan. This technique is effective in uncovering various degeneracy phenomena as regards projective subvarieties.
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Notes on Projective Differential Geometry

2008
Projective differential geometry was initiated in the 1920s, especially by Elie Cartan and Tracey Thomas. Nowadays, the subject is not so well-known. These notes aim to remedy this deficit and present several reasons why this should be done at this time.
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GEOMETRY OF DIFFERENTIAL EQUATIONS AND PROJECTIVE REPRESENTATIONS OF THE WITT ALGEBRA

International Journal of Modern Physics B, 1992
We give explicit expressions for the singular vectors in highest weight representations of the Virasoro algebra using a precise definition of fusion.
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Projective Differential Geometry of Systems of Linear Partial Differential Equations

1971
—In S n — over a field F which will generally be either the real or the complex one — consider a surface Φ defined as the locus of points x whose projective coordinates (x(0) x(1),..., x(n)) are functions of two parameters u and v. These functions will all be supposed continuous with derivatives of sufficiently high order.x u will denote the point ...
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A Treatise on Projective Differential Geometry

National Mathematics Magazine, 1943
Vernon G. Grove, Ernest Preston Lane
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