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HODGE TYPE THEOREMS FOR ARITHMETIC MANIFOLDS ASSOCIATED TO ORTHOGONAL GROUPS
HODGE TYPE THEOREMS ARITHMETIC MANIFOLDS ORTHOGONAL GROUPS
2015/10/14
We show that special cycles generate a large part of the cohomology of locally symmetric spaces associated to orthogonal groups. We prove in particular that classes of totally geodesic submanifolds ge...
<正> It is well-known that the camplex linear unimodular group G_2 ofa 2-dimensional affine space E_2 is a representation of the real orthogonalgToup G_4 of a 4-dimensional euclidean space R.In this pa...