Symmetric curves
نویسندگان
چکیده
منابع مشابه
Curves and Symmetric Spaces, II
We describe the canonical model of an algebraic curve of genus 9 over a perfect field when the Clifford index is maximal (=3) by means of linear systems of higher rank. Let SpG(n, 2n) be the symplectic Grassmannian, that is, the Grassmannian of Lagrangian subspaces of a 2n-dimensional symplectic vector space, over a field k. In the case n = 3, SpG(3, 6) is a 6-dimensional homogeneous variety an...
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Faltings' theorem states that curves of genus g > 2 have finitely many rational points. Using the ideas of Faltings, Mumford, Parshin and Raynaud, one obtains an upper bound on the upper bound on the number of rational points [Szp85], XI, §2, but this bound is too large to be used in any reasonable sense. In 1985, Coleman showed [Col85] that Chabauty's method, which works when the Mordell-Weil ...
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Let V be an algebraic curve. P is a set of points on V . C is a set of curves each of which intersects V at some points of P. We denote IP (C, V ) as the intersection multiplicity of C ∈ C with V at the point P ∈ P. If (V,P, C) satisfies the following conditions, we call it a symmetric set of curves: (1) for any point p ∈ P, the number of C having intersection multiplicity a is λa, (2) for any ...
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An n-Venn diagram consists of n curves drawn in the plane in such a way that each of the 2 possible intersections of the interiors and exteriors of the curves forms a connected non-empty region. A k-region in a diagram is a region that is in the interior of precisely k curves. A n-Venn diagram is symmetric if it has a point of rotation about which rotations of the plane by 2π/n radians leaves t...
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In this paper we study locally symmetric families of curves and jacobians. By a locally symmetric family of jacobians, we mean a family of jacobians parameterized by a locally symmetric variety where the image of the period map is a locally symmetric subvariety of Ag[l], the moduli space of principally polarized abelian varieties of dimension g with a level l structure. A locally symmetric fami...
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ژورنال
عنوان ژورنال: Časopis pro pěstování matematiky
سال: 1970
ISSN: 0528-2195
DOI: 10.21136/cpm.1970.117680