Algebraic Geometry and Number Theory
Springer International Publishing (Verlag)
978-3-319-47778-7 (ISBN)
This lecture notes volume presents significant contributions from the "Algebraic Geometry and Number Theory" Summer School, held at Galatasaray University, Istanbul, June 2-13, 2014.
It addresses subjects ranging from Arakelov geometry and Iwasawa theory to classical projective geometry, birational geometry and equivariant cohomology. Its main aim is to introduce these contemporary research topics to graduate students who plan to specialize in the area of algebraic geometry and/or number theory. All contributions combine main concepts and techniques with motivating examples and illustrative problems for the covered subjects. Naturally, the book will also be of interest to researchers working in algebraic geometry, number theory and related fields.
Preface.- List of Participants.- p-adic Variation in Arithmetic Geometry: A Survey.- The Birational Geometry of Moduli Spaces.- On the Geometry of Hypersurfaces of Low Degrees in the Projective Space.- The Riemann-Roch Theorem in Arakelov Geometry.- Computing the Gysin Map Using Fixed Points.- On -adic Galois L-functions.- Class Number Problems and Lang Conjectures.
| Erscheinungsdatum | 31.05.2017 |
|---|---|
| Reihe/Serie | Progress in Mathematics |
| Zusatzinfo | XI, 232 p. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| Schlagworte | Algebra • Algebraic Geometry • algebraic topology • ample cone • Arakelov geometry • arithmetic Chow groups • Arithmetic intersection theory • binary quadratic forms • class number problems • Commutative rings and algebras • cubic three-folds • Dirichlet L-series • Galois L-functions • Hilbert scheme of points • Mathematics • mathematics and statistics • Number Theory |
| ISBN-10 | 3-319-47778-1 / 3319477781 |
| ISBN-13 | 978-3-319-47778-7 / 9783319477787 |
| Zustand | Neuware |
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