Some Results on the Quotient Space by an Algebraic Group of Automorphisms.
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C.S. SESHADRI (1963)
Mathematische Annalen
Yoel Feler (2008)
Journal of the European Mathematical Society
Let denote either or . We study certain analytic properties of the space of ordered geometrically generic -point configurations in . This space consists of all such that no of the points belong to a hyperplane in . In particular, we show that for a big enough any holomorphic map commuting with the natural action of the symmetric group in is of the form , , where is an -invariant holomorphic map. A similar result holds true for mappings of the configuration space .
Stéphane Lamy (2005)
Publicacions Matemàtiques
We describe the structure of the group of algebraic automorphisms of the following surfaces 1) P1,k x P1,k minus a diagonal; 2) P1,k x P1,k minus a fiber. The motivation is to get a new proof of two theorems proven respectively by L. Makar-Limanov and H. Nagao. We also discuss the structure of the semi-group of polynomial proper maps from C2 to C2.
Claire Voisin (1992)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
A. Hirschowitz (1988)
Mathematische Annalen
Tammo tom Dieck (1990)
Mathematische Annalen
Giovanni Mongardi (2012)
Open Mathematics
Let X be a hyperkähler manifold deformation equivalent to the Hilbert square of a K3 surface and let φ be an involution preserving the symplectic form. We prove that the fixed locus of φ consists of 28 isolated points and one K3 surface, and moreover that the anti-invariant lattice of the induced involution on H 2(X, ℤ) is isomorphic to E 8(−2). Finally we show that any couple consisting of one such manifold and a symplectic involution on it can be deformed into a couple consisting of the Hilbert...
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