Richard Pink: Catalogue data in Autumn Semester 2017 |
Name | Prof. em. Dr. Richard Pink |
Field | Mathematics |
Address | Professur für Mathematik ETH Zürich, HG G 65.2 Rämistrasse 101 8092 Zürich SWITZERLAND |
Telephone | +41 44 632 06 40 |
richard.pink@math.ethz.ch | |
URL | http://www.math.ethz.ch/~pink |
Department | Mathematics |
Relationship | Professor emeritus |
Number | Title | ECTS | Hours | Lecturers | |
---|---|---|---|---|---|
401-4147-67L | Algebraic Geometry II | 10 credits | 4V + 1U | R. Pink | |
Abstract | Quasicoherent sheaves, cohomology, Serre duality, Riemann-Roch theorem, algebraic curves, moduli schemes | ||||
Learning 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, http://math.stanford.edu/~vakil/216blog/ * Jean Gallier and Stephen S. Shatz, Algebraic Geometry http://www.cis.upenn.edu/~jean/algeom/steve01.html "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, http://www.jmilne.org/math/CourseNotes/AG.pdf 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 | ||||
401-5110-00L | Number Theory Seminar | 0 credits | 1K | Ö. Imamoglu, P. S. Jossen, E. Kowalski, P. D. Nelson, R. Pink, G. Wüstholz | |
Abstract | Research colloquium | ||||
Learning objective |