The Residual Intersection Formula of Type II Exceptional Curves
Algebraic Geometry
2016-09-07 v1
Abstract
The paper is a part of our program to build up a theory of couting immersed nodal curve on algebraic surfaces, as an enumerative Riemann-Roch theory (outlined in math.AG/0405113). In this paper, we discuss the excess intersection theory of the so-called type two exceptional curves, which plays the analogous role as the "index of speciality" (h^2) in the classical surface Riemann-Roch formula. We show that the algebraic family Seiberg-Witten theory of type I exceptional curves can be generalized to the theory of type II exceptional curves when the family moduli spaces are not regular of the expected dimension.
Cite
@article{arxiv.math/0409037,
title = {The Residual Intersection Formula of Type II Exceptional Curves},
author = {Ai-Ko Liu},
journal= {arXiv preprint arXiv:math/0409037},
year = {2016}
}
Comments
38 pages and 1 figure