1,721,042 research outputs found
Quiver varieties of type A
No full textWe prove a conjecture of Nakajima describing the relation between quiver varieties of type A and the geometry of partial flag varieties and of the nilpotent variety
The multicomponent KP and Fay trisecant formula
No full textBy generalizing Krichever's construction it is possible to show that the theta function solves the n-component K.P. hierarchy and to prove Fay trisecant formula
Orbits in degenerate compactifications of symmetric varieties
No full textLet G be a simply connected semisimple algebraic group and let H 0 be the subgroup of points fixed under an involution of G. If V is an irreducible representation with a line L of vectors fixed by H 0 we consider the closure of the G-orbit of L in P (V) . We describe the G-orbits of this closure and we prove that the normalization of this variety is homeomorphic to the variety itself. © 2008 Birkhäuser Boston
A remark on quiver varieties and Weyl groups
Get PDFWe prove a conjecture of Nakajima describing the relation between quiver varieties of type A and the geometry of partial flag varieties and of the nilpotent variet
Protective normality of complete symmetric varieties
No full textWe prove that in characteristic zero the multiplication of sections of line bundles generated by global sections on a complete symmetric variety X = G/H is a surjective map. As a consequence, the cone defined by a complete linear system over X or over a closed G-stable subvariety of X is normal. This gives an affirmative answer to a question raised by Faltings in [11]. A crucial point of the proof is a combinatorial property of root systems
Abelian Varieties as Automorphism Groups of Smooth Projective Varieties
Get PDFWe determine which complex abelian varieties can be realized as the automorphism groupof a smooth projective variety
A NOTE ON THE PAPER "ON NORMALITY OF CONES OVER SYMMETRIC VARIETIES"
No full textLet G be a semisimple and simply connected algebraic group, and let H_0 be the subgroup of points fixed by an involution of G. Let V be an irreducible representation of G with a nonzero vector v fixed by H_0. In this article, we prove a property of the normalization of the coordinate ring of the closure of G·[v] in P(V)
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