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The ring of projective invariants of eight ordered points on the line is a quotient of the polynomial ring on V , where V is a fourteen-dimensional representation of S8, by an ideal I8, so the modular...
On representation varieties of Artin groups,projective arrangements and the fundamental groups of smooth complex algebraic varieties.
THE MODULI SPACE OF WEIGHTED CONFIGURA TIONS ON PROJECTIVE SPACE.
We use the general theory developed in our article [1] in the setting of parabolic geometries to reprove known results on special in nitesimal automorphisms of projective and conformal geometries.
T. The deformation space t(E) of convex Rp2_ structures on a closed surface Y with X(z) < 0 is closed in the space Hom(7r, SL(3, IR))/SL(3, IR) of equivalence classes of representations r1 (l) -- ...
The purpose of this paper is to investigate convex real projective structures on compact surfaces. Let RP2 be the real projective plane and PGL(3, R) the group of projective transformations RP2 —...
Henon Mappings in the Complex Domain II:projective and inductive limits of polynomials.
We nd it interesting that such a natural naive approach as we will describe actually works, and yields a desingularization with these nice properties.
We consider the ring of invariants of n points on the projective line. The space (P 1) n//PGL2 is perhaps the first nontrivial example of a Geometry Invariant Theory quotient. The constructio...
The latter two descriptions do not distinguish any of the six points. Of course, these descriptions are equivalent to the traditional one (x1.4) there is after all only one nontrivial outer automor...
We study the geometry of moduli spaces of genus 0 and 1 curves in Pn with speci ed contact with a hyperplane H. We compute intersection numbers on these spaces that correspond to the number of degre...
The following divisors in the space Sym12 P1 of twelve points on P1 are actually the same: (A) the possible locus of the twelve nodal bers in a rational elliptic bration (i.e. a pencil of plane cu...
This paper presents the results of the assessment of the developed techniques for line-based and combined point/line-based eight parameters projective equations. The developed equations were impleme...
It is well known that pseudo-Riemannian metrics in the projective class of a given torsion free affine connection can be obtained from (and are equivalent to) the solutions of a certain overdetermined...

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