Intermediate Jacobians of Moduli Spaces Donu Arapura and Pramathanath Sastry
نویسنده
چکیده
We work throughout over the complex numbers C, i.e. all schemes are over C and all maps of schemes are maps of C-schemes. A curve, unless otherwise stated, is a smooth complete curve. Points mean geometric points. We will, as is usual in such situations, toggle between the algebraic and analytic categories without warning. For a quasi-projective algebraic variety Y , the (mixed) Hodge structure associated with its i-th cohomology will be denoted H(Y ). For a curve X , SUX(n, L) will denote the moduli space of semi-stable vector bundles of rank n and determinant L. The smooth open subvariety defining the stable locus will be denoted SU X(n, L). We assume familiarity with the basic facts about such a moduli space as laid out, for example in [21], pp. 51–52,VI.A (see also Theorems 10, 17 and 18 of loc.cit.). Our principal result is the following theorem :
منابع مشابه
Intermediate Jacobians and Hodge Structures of Moduli Spaces Donu Arapura and Pramathanath Sastry
We work throughout over the complex numbers C, i.e. all schemes are over C and all maps of schemes are maps of C-schemes. A curve, unless otherwise stated, is a smooth complete curve. Points mean geometric points. We will, as is usual in such situations, toggle between the algebraic and analytic categories without warning. For a curve X , SUX(n, L) will denote the moduli space of semi-stable ve...
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