Claus Hertling is a Professor at the University of Mannheim. His research interests are in isolated hypersurface singularities and their moduli spaces, Frobenius manifolds, meromorphic connections and, more recently, integral matrices in the contexts of Stokes structures and monodromy.Khadija Larabi obtained her PhD from the University of Mannheim. She works on algebraic structures induced by upper triangular integral matrices and on orders and full lattices in finite-dimensional commutative ℚ-algebras.

Select Guide Rating

• Chapter 1. Introduction.- Chapter 2. Bilinear lattices and induced structures.- Chapter 3. Braid group actions.- Chapter 4. Braid group action on upper triangular 3×3 matrices.- Chapter 5. Automorphism groups.-Chapter 6. Monodromy groups and vanishing cycles.- Chapter 7. Distinguished bases in the rank 2 and rank 3 cases.- Chapter 8. Manifolds induced by the orbit of distinguished basesand the orbit of distinguished matrices.- Chapter 9. The manifolds in the rank 3 cases.- Chapter 10. Isolated hypersurface singularities.- Appendix A. Tools from hyperbolic geometry.- Appendix B. The first congruence subgroups.- Appendix C. Quadratic units via continued fractions.- Appendix D. Powers of quadratic units.- Bibliography.- Index.

Claus Hertling is a Professor at the University of Mannheim. His research interests are in isolated hypersurface singularities and their moduli spaces, Frobenius manifolds, meromorphic connections and, more recently, integral matrices in the contexts of Stokes structures and monodromy.Khadija Larabi obtained her PhD from the University of Mannheim. She works on algebraic structures induced by upper triangular integral matrices and on orders and full lattices in finite-dimensional commutative ℚ-algebras.

Select Guide Rating

• Chapter 1. Introduction.- Chapter 2. Bilinear lattices and induced structures.- Chapter 3. Braid group actions.- Chapter 4. Braid group action on upper triangular 3×3 matrices.- Chapter 5. Automorphism groups.-Chapter 6. Monodromy groups and vanishing cycles.- Chapter 7. Distinguished bases in the rank 2 and rank 3 cases.- Chapter 8. Manifolds induced by the orbit of distinguished basesand the orbit of distinguished matrices.- Chapter 9. The manifolds in the rank 3 cases.- Chapter 10. Isolated hypersurface singularities.- Appendix A. Tools from hyperbolic geometry.- Appendix B. The first congruence subgroups.- Appendix C. Quadratic units via continued fractions.- Appendix D. Powers of quadratic units.- Bibliography.- Index.

Claus Hertling is a Professor at the University of Mannheim. His research interests are in isolated hypersurface singularities and their moduli spaces, Frobenius manifolds, meromorphic connections and, more recently, integral matrices in the contexts of Stokes structures and monodromy.Khadija Larabi obtained her PhD from the University of Mannheim. She works on algebraic structures induced by upper triangular integral matrices and on orders and full lattices in finite-dimensional commutative ℚ-algebras.

Select Guide Rating

• Chapter 1. Introduction.- Chapter 2. Bilinear lattices and induced structures.- Chapter 3. Braid group actions.- Chapter 4. Braid group action on upper triangular 3×3 matrices.- Chapter 5. Automorphism groups.-Chapter 6. Monodromy groups and vanishing cycles.- Chapter 7. Distinguished bases in the rank 2 and rank 3 cases.- Chapter 8. Manifolds induced by the orbit of distinguished basesand the orbit of distinguished matrices.- Chapter 9. The manifolds in the rank 3 cases.- Chapter 10. Isolated hypersurface singularities.- Appendix A. Tools from hyperbolic geometry.- Appendix B. The first congruence subgroups.- Appendix C. Quadratic units via continued fractions.- Appendix D. Powers of quadratic units.- Bibliography.- Index.