English

Irreducibility and Smoothness of the moduli space of mathematical 5--instantons over ${\mathbb P}_3$

Algebraic Geometry 2007-05-23 v2

Abstract

We prove that the space of mathematical instantons with second Chern class 5 over P3{\mathbb P}_3 is smooth and irreducible. Unified and simple proofs for the same statements in case of second Chern class 4\leq 4 are contained.

Keywords

Cite

@article{arxiv.math/0206064,
  title  = {Irreducibility and Smoothness of the moduli space of mathematical 5--instantons over ${\mathbb P}_3$},
  author = {I. Coanda and A. Tikhomirov and G. Trautmann},
  journal= {arXiv preprint arXiv:math/0206064},
  year   = {2007}
}

Comments

corrections made, references added, 46 pages, Latex 2e. To appear in International Journal of Mathematics