Topological aspects of Chow quotients
نویسندگان
چکیده
منابع مشابه
Topological Aspects of Chow Quotients
This paper studies the canonical Chow quotient of a smooth projective variety by a reductive algebraic group. The main observation of this paper is that, over the field of complex numbers, the Chow quotient admits symplectic and other topological interpretations, namely, symplectically, the moduli spaces of stable orbits with prescribed momentum charges; and topologically, the moduli space of s...
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Given a projective algebraic variety X, let Πp(X) denote the monoid of effective algebraic equivalence classes of effective algebraic cycles on X. The p-th Euler-Chow series of X is an element in the formal monoid-ring Z[[Πp(X)]] defined in terms of Euler characteristics of the Chow varieties Cp,α (X) of X, with α ∈ Πp(X). We provide a systematic treatment of such series, and give projective bu...
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 2005
ISSN: 0022-040X
DOI: 10.4310/jdg/1122493996