Browsing by Author "Andreini, Elena"

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    Gromov-Witten theory of banded gerbes over schemes
    (SISSA, 2011-01-31) Andreini, Elena; Jiang, Yunfeng; Tseng, Hsian-Hua; Mathematics; Mathematical Physics
    Let $X$ be a smooth complex projective algebraic variety. Let $\mathcal{G}$ be a $G$-banded gerbe with $G$ a finite abelian group. We prove an exact formula expressing genus $g$ orbifold Gromov-Witten invariants of $\mathcal{G}$ in terms of those of $X$.
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    Moduli space of pairs over projective stacks
    (SISSA, 2011-05-27) Andreini, Elena; Mathematics; Mathematical Physics
    Let $\clX$ a projective stack over an algebraically closed field $k$ of characteristic 0. Let $\clE$ be a generating sheaf over $\clX$ and $\clO_X(1)$ a polarization of its coarse moduli space $X$. We define a notion of pair which is the datum of a non vanishing morphism $\Gamma\otimes\clE\to \clF$ where $\Gamma$ is a finite dimensional $k$ vector space and $\clF$ is a coherent sheaf over $\clX$. We construct the stack and the moduli space of semistable pairs. The notion of semistability depends on a polynomial parameter and it is dictated by the GIT construction of the moduli space.