Hyperplane Arrangement Seminar Derivations of an effective divisor on the complex projective line II

Date
2006-10-11 13:00 - 2006-10-11 14:30
Place
Room 8-302, Faculty of Science Bldg. #8, Hokkaido University
Speaker/Organizer
Max Wakefield (Hokkaido University)

In this talk we consider an effective divisor on the complex projective line and associate with it the module D consisting of all the derivations $\theta$ such that $\theta(I_i)\subset I_i^{m_i}$ for every $i$, where $I_i$ is the ideal of $p_i$.The module D is graded and free of rank 2; the degrees of its homogeneous basis, called the exponents, form an important invariant of the divisor. Our main result asserts that under some conditions for S(m_i)$there exists a general position of$n\$ points for which the exponents do not change. We give an explicit formula for them. This talk is the second in a series of talks whose aim is to prove our main result.

http://coe.math.sci.hokudai.ac.jp/sympo/arrangement/index_en.html