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Computing the Gysin Map Using Fixed Points
The Gysin map of a map between compact oriented manifolds is the map in cohomology induced by the push-forward map in homology. In enumerative...
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On homaloidal polynomial functions of degree 3 and prehomogeneous vector spaces
In this paper we consider homaloidal polynomial functions f such that their multiplicative Legendre transform f * , defined as in Etingof et al. (Sel....
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Isotropy Subgroups of Transformation Groups
In this paper we consider transitive actions of Lie groups on analytic manifolds. We study three cases of analytic manifolds and their corresponding...
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Intersections of Schubert varieties and other permutation array schemes
Using a blend of combinatorics and geometry, we give an algorithm for algebraically finding all flags in any zero-dimensional intersection of...
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Toric degenerations of spherical varieties
We prove that any affine, resp. polarized projective, spherical variety admits a flat degeneration to an affine, resp. polarized projective, toric...
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The Moduli Space of Boundary Compactifications of SL (2, R)
In an earlier paper, the authors introduced the notion of a boundary compactification of SL(2, R) and SL(2, C), a normal projective embedding of PSL2...
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Fano contact manifolds and nilpotent orbits
A contact structure on a complex manifold M is a corank 1 subbundle F of T M such that the bilinear form on F with values in the quotient line bundle...
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Schubert cycles, differential forms and D-modules on varieties of unseparated flags
Proper homogeneous G -spaces (where G is semisimple algebraic group) over positive characteristic fields k can be divided into two classes, the first...
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