"This book illustrates connections between various courses taken by undergraduate mathematics majors. The chapters are essentially independent, and the instructor can choose the topics that will form the course and thus tailor the syllabus to suit the backgrounds and abilities o…
Introduction Automorphisms of the affine plane A partition on $\mathbb{C}[x, y]$ The geometry of the partition The action of Aut$(\mathbb{C}^2)$ on $\mathbb{C}[x, y]$ The moduli problem The moduli spaces Appendix A. Canonical orders Bibliography.
This paper is concerned with studying necessary and sufficient conditions on a ring [italic]R such that for certain classes of right [italic]R-modules, the singular submodule of any member of the class is a direct summand of the module. The classes of interest are the class of a…
by Auslander, Maurice, Bridger, Mark
fromMemoirs of the American Mathematical Society
In this work we consider the problem of determining information about representations as the rank grows large, in fact, tends to infinity. Here we show that the set of dominant weights stabilizes as the rank goes to infinity and the multiplicities become polynomials in the rank.…
A procedure for studying divisors on the moduli space of curves of genus [italic]g is presented. We study the divisor defined as the closure of the set of all points corresponding to curves possessing exceptional Weierstrass points of a certain type. Its class is expressed as a …
