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We study the inertia stack of [M_{0,n}/S_n], the quotient stack of the moduli stack of smooth genus 0 curves with n marked points via the action of the symmetric group S_n. Then we see how from this ...
A Note on Singular Moduli Spaces of Sheaves on K3 Surfaces
Singular Moduli Spaces K3 Surfaces
2010/11/24
This paper studies deformations and birational maps between singular moduli spaces of semistable sheaves with 2-divisible Mukai vectors on K3 surfaces. It is showed that under certain conditions, two...
A Note on Formality and Singularities of Moduli Spaces
Formality Singularities Moduli Spaces
2010/11/24
This paper studies formality of the differential graded algebra $RHom(E,E)$, where $E$ is a semistable sheaf on a K3 surface. The main tool is Kaledin's theorem on formality in families. For a large ...
Let $M$ be the moduli space of rank $2$ stable bundles with fixed determinant of degree $1$ on a smooth projective curve $C$ of genus $g\ge 2$. When $C$ is generic, we show that any elliptic curve on...
Real Gromov-Witten Invariants on the Moduli Space of Genus 0 Stable Maps to a Smooth Rational Projective Space
Gromov-Witten invariant enumerative invariant transversality intersection multiplicity real structure
2010/2/25
We characterize transversality, non-transversality properties on the moduli space of genus 0 stable maps to a rational projective surface. If a target space is equipped with a real structure, i.e, ant...