Authors Note Let's get ready to chillax some more with Miss Terri Vaughn. She will take us on her journey and share with us as she grows. Miss Terri have so much to be grateful for. In these pages you will find out how she develop and grow as she is exposed to stages of life as a young woman coming into Ministry. She will share as she learn to embrace the newness of being a young woman coming into a portion of the Kingdom that demands dedication and commitment. I have written this book in a story form. Many of the incidences I have experienced myself being in the church. Our desire is that you will read and become amazed with the life of Terri and her friends as she expresses her life and explores stages of Ministry assigned to her. Some parts will make you smile, as I have. Some parts will make you cry, as I have. Some parts will make you want to pray, as I have. Some parts will send you into a praise or a worship, as I have. Whatever it move you to do, may it move you to enjoy it as much as I've enjoyed writing it.
Homogeneous spaces of linear algebraic groups lie at the crossroads of algebraic geometry, theory of algebraic groups, classical projective and enumerative geometry, harmonic analysis, and representation theory. By standard reasons of algebraic geometry, in order to solve various problems on a homogeneous space, it is natural and helpful to compactify it while keeping track of the group action, i.e., to consider equivariant completions or, more generally, open embeddings of a given homogeneous space. Such equivariant embeddings are the subject of this book. We focus on the classification of equivariant embeddings in terms of certain data of "combinatorial" nature (the Luna-Vust theory) and description of various geometric and representation-theoretic properties of these varieties based on these data. The class of spherical varieties, intensively studied during the last three decades, is of special interest in the scope of this book. Spherical varieties include many classical examples, such as Grassmannians, flag varieties, and varieties of quadrics, as well as well-known toric varieties. We have attempted to cover most of the important issues, including the recent substantial progress obtained in and around the theory of spherical varieties.