51 research outputs found

    Global Euler obstruction and polar invariants

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    For an affine complex algebraic singular space Y, we define a global Euler obstruction Eu(Y) which extends the Euler-Poincare characteristic of a nonsingular Y. Using Lefschetz pencils, we express Eu(Y) as alternating sum of global polar invariants.Comment: 9 pages, 1 figur

    Elementary groups in \PSL(3,\C)

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    In this paper, we give a classification of the subgroups of PSL(3,C)\textrm{PSL}(3, \mathbb{C}) that act on PC2\mathbb{P}_{\mathbb{C}}^2 in such a way that their Kulkarni limit set has finitely many lines in general position lines. These are the elementary groups
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