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math.AG2004
Rational curves on homogeneous cones
Nicolas Perrin
Let G/Q be an homogeneous variety embedded in a projective space P thanks to an ample line bundle L. Take a projective space containing P and form the cone X over G/Q, we call this…
math.AG2004
Rational curves on minuscule Schubert varieties
Nicolas Perrin
Let X be a minuscule Schubert variety and a class of 1-cycle on X. In this article we describe the irreducible components of the scheme of morphisms of class from a rationa…
math.AG1999
Two components of the boundary of the compactification of the variety of instantons
Nicolas Perrin
We study two components of the boundary of the compactification of the variety I_3 of instantons of degree three. We use the desciption of I_3 as symetric (involutive) cubo-cubic t…