401-4147-67L Algebraic Geometry II
Semester | Autumn Semester 2017 |
Lecturers | R. Pink |
Periodicity | non-recurring course |
Language of instruction | English |
Abstract | Quasicoherent sheaves, cohomology, Serre duality, Riemann-Roch theorem, algebraic curves, moduli schemes |
Objective | |
Literature | Primary reference: * Robin Hartshorne: Algebraic Geometry, Graduate Texts in Mathematics, Springer. * Ulrich Görtz and Torsten Wedhorn: Algebraic Geometry I, Advanced Lectures in Mathematics, Springer. Secondary reference: * Qing Liu: Algebraic Geometry and Arithmetic Curves, Oxford Science Publications. * Siegfried Bosch: Algebraic Geometry and Commutative Algebra (Springer 2013). Other good textbooks and online texts are: * David Eisenbud, Joe Harris: The Geometry of Schemes, Graduate Texts in Mathematics, Springer. * Ravi Vakil, Foundations of Algebraic Geometry, Link * Jean Gallier and Stephen S. Shatz, Algebraic Geometry Link "Classical" Algebraic Geometry over an algebraically closed field: * Joe Harris, Algebraic Geometry, A First Course, Graduate Texts in Mathematics, Springer. * J.S. Milne, Algebraic Geometry, Link Further readings: * Günter Harder: Algebraic Geometry 1 & 2 * I. R. Shafarevich, Basic Algebraic geometry 1 & 2, Springer-Verlag. * Alexandre Grothendieck et al.: Elements de Geometrie Algebrique EGA * Saunders MacLane: Categories for the Working Mathematician, Springer-Verlag. |
Prerequisites / Notice | Algebraic Geometry I Spring 2017 |