Non--quasi--projective moduli spaces

J\'anos Koll\'ar

arxiv: math/0501294 · v2 · submitted 2005-01-19 · 🧮 math.AG

Non--quasi--projective moduli spaces

J\'anos Koll\'ar This is my paper

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keywords modulispacespolarizedsmoothvarietiesalgebraiccontradictsevery

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We show that every smooth toric variety (and many other algebraic spaces as well) can be realized as a moduli space for smooth, projective, polarized varieties. Some of these are not quasi--projective. This contradicts a recent paper (Quasi--projectivity of moduli spaces of polarized varieties, Ann. of Math. 159 (2004) 597--639.).

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Non--quasi--projective moduli spaces

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