The space of curvettes of quotient singularities and associated invariants
Abstract
This paper deals with a complete invariant $R_X$ for cyclic quotient surface singularities. This invariant appears in the Riemann Roch and Numerical Adjunction Formulas for normal surface singularities. Our goal is to give an explicit formula for $R_X$ based on the numerical information of $X$, that is, $d$ and $q$ as in $X=X(d;1,q)$. In the process, the space of curvettes and generic curves is explicitly described. We also define and describe other invariants of curves in $X$ such as the LRlogarithmic eigenmodules, $\delta$invariants, and their Milnor and Newton numbers.
 Publication:

arXiv eprints
 Pub Date:
 March 2015
 arXiv:
 arXiv:1503.02487
 Bibcode:
 2015arXiv150302487C
 Keywords:

 Mathematics  Algebraic Geometry
 EPrint:
 20 pages, 6 figures