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arxiv: 1412.1186 · v2 · pith:K4AE6LDOnew · submitted 2014-12-03 · 🧮 math.AG

Boundedness of moduli of varieties of general type

Christopher Hacon , James McKernan , Chenyang Xu This is my paper
classification 🧮 math.AG
keywords canonicalampleboundedboundednessclassfamilyfixedgeneral
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We show that the family of semi log canonical pairs with ample log canonical class and with fixed volume is bounded.

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    math.AG 2022-06 unverdicted novelty 7.0

    Proves existence of virtual fundamental class on KSBA moduli space of stable general type surfaces by constructing it on the moduli stack of lci covers and pushing forward.