The tangent space at a special symplectic instanton bundle on P^{2n+1}

Carla Dionisi

The tangent space at a special symplectic instanton bundle on P^{2n+1}

alg-geom 2008-02-03 v1 Algebraic Geometry

Authors: Carla Dionisi

Abstract

Let $MI_{Simp,P^{2n+1}}(k)$ be the moduli space of stable symplectic instanton bundles on $P^{2n+1}$ with second Chern class $c_2=k$ (it is a closed subscheme of the moduli space $MI_{P^{2n+1}}(k)$ ), We prove that the dimension of its Zariski tangent space at a special (symplectic) instanton bundle is $2k(5n-1)+4n^2-10n+3, k\geq 2$ . It follows that special symplectic instanton bundles are smooth points for $k \leq 3$

Keywords

symplectic instanton bundle moduli space Zariski tangent space Chern class projective space

Cite

@article{arxiv.alg-geom/9707011,
  title  = {The tangent space at a special symplectic instanton bundle on P^{2n+1}},
  author = {Carla Dionisi},
  journal= {arXiv preprint arXiv:alg-geom/9707011},
  year   = {2008}
}

Comments

Latex, 11 pages, to appear in Annali di Matematica

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