Derived category of moduli of pointed curves. I
نویسندگان
چکیده
منابع مشابه
Moduli spaces of weighted pointed stable curves
It has long been understood that a moduli space may admit a plethora of different compactifications, each corresponding to a choice of combinatorial data. Two outstanding examples are the toroidal compactifications of quotients of bounded symmetric domains [AMRT] and the theory of variation of geometric invariant theory (GIT) quotients [BP] [DH] [Th]. However, in both of these situations a modu...
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The purpose of this note is to explain how to calculate intersection numbers on moduli spaces of curves. More specifically, we will discuss computing intersection numbers among tautological classes on the moduli space of stable n-pointed curves of genus g, denoted Mg,n. The recipe described below is the cumulation of many results found in various papers [AC,F2,GP,M,W], but is reformulated here ...
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The main result of this dissertation is that Hilbert points parametrizing smooth curves with marked points are GIT-stable with respect to a wide range of linearizations. This is used to construct the coarse moduli spaces of stable weighted pointed curves Mg,A, including the moduli spaces Mg,n of Deligne-Mumford stable pointed curves, as well as ample line bundles on these spaces.
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ژورنال
عنوان ژورنال: Algebraic Geometry
سال: 2020
ISSN: 2214-2584
DOI: 10.14231/ag-2020-026