The Tangent Space at a Special Symplectic Instanton Bundle on IP

نویسنده

  • CARLA DIONISI
چکیده

ABSTRACT :Let MISimp,IP2n+1(k) be the moduli space of stable symplectic instanton bundles on IP with second Chern class c2 = k (it is a closed subscheme of the moduli space MIIP2n+1(k)) We prove that the dimension of its Zariski tangent space at a special (symplectic) instanton bundle is 2k(5n − 1) + 4n − 10n + 3 , k ≥ 2. It follows that special symplectic instanton bundles are smooth points for k ≤ 3

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تاریخ انتشار 2008