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Generalized varieties of sums of powers
Let X ⊂ P N be an irreducible, non-degenerate variety. The generalized variety of sums of powers V S P H X ( h ) of X is the closure in the Hilbert...
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On the Automorphisms of Moduli Spaces of Curves
In the last years the biregular automorphisms of Deligne–Mumford’s and Hassett’s compactifications of the moduli space of n-pointed genus g smooth... -
The orbifold cohomology of moduli of genus 3 curves
In this work we study the additive orbifold cohomology of the moduli stack of smooth genus g curves. We show that this problem reduces to...
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Alternate compactifications of the moduli space of genus one maps
We extend the definition of an m -stable curve introduced by Smyth to the setting of maps to a projective variety X , generalizing the definition of a...
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Bundles on non-proper schemes: representability
Let X be a proper scheme over a field k which satisfies Serre’s condition S 2 and G a reductive group over k . We prove that the functor of principal G ...