Lecturer

• Dr. Massimiliano Alessandro

Time and Place

• Time: Wednesday and Thursday, 12:00-14.00.
• Room: Gebäude E2 4 - Seminarraum 6.

Note: The course will be held in English.

Content

The principal aim of this course is to achieve the so-called Enriques-Kodaira classification of complex algebraic surfaces.

Prerequisites: Linear Algebra I & II, Analysis I & II & III, Complex Analysis (Funktionentheorie).

Registration

To register for the course, please send an email to malessandro [add @math.uni-sb.de]. This email should include also the following data: Name, Surname and Matrikelnummer.

Exams

Exam criteria: oral exam at the end of the course.

Literature

• Badescu, Lucian. Algebraic Surfaces. Translated by Vladimir Masek. New York, NY: Springer, 2001. ISBN: 9780387986685.


• Barth, Wolf P., Klaus Hulek, Chris A. M. Peters, and Antonius Van de Ven. Compact Complex Surfaces. 2nd ed. Berlin, Germany: Springer, 2004. ISBN: 9783540008323.


• Beauville, Arnaud. Complex Algebraic Surfaces. 2nd ed. New York, NY: Cambridge University Press, 1996. ISBN: 9780521495103.


• Busé, Laurent, Catanese Fabrizio, and Postinghel, Elisa. Chapter 1 in: Algebraic Curves and Surfaces. A History of Shapes. SISSA Springer Series 4. Cham, Switzerland: Springer, 2023. ISBN: 978-3-031-24153-6. https://doi.org/10.1007/978-3-031-24151-2.


• Ciliberto, Ciro. Classification of Complex Algebraic Surfaces. EMS Press, 2020. ISBN: 978-3-03719-210-8. DOI: 10.4171/210.


• Griffiths, Phillip, and Joseph Harris. “Surfaces.” Chapter 4 in: Principles of Algebraic Geometry. New York, NY: Wiley-Interscience [John Wiley & Sons], 1978. ISBN: 978-0-471-32792-9.


• Hartshorne, Robin. “Surfaces.” Chapter 5 in: Algebraic Geometry. New York, NY: Springer, 1997. ISBN: 9780387902449.


• Iskovskikh, V.A., Shafarevich, I.R. Chapter II "Algebraic Surfaces" in: Shafarevich, I.R. (eds) Algebraic Geometry II. Encyclopaedia of Mathematical Sciences, vol 35. Springer, Berlin, Heidelberg,1996. ISBN: 978-3-642-64607-2


• Matsuki, Kenji. Chapter 1 and 2 in: Introduction to the Mori Program. New York, NY: Springer, 2002. ISBN: 978-1-4419-3125-2.


• Zariski, Oscar. Algebraic Surfaces. Second supplemented edition. With appendices by S. S. Abhyankar, J. Lipman, and D. Mumford. Preface to the appendices by Mumford. Berlin-Heidelberg-New York: Springer-Verlag, 1971. ISBN: 3-540-05335-2.

The Campus-Bibliothek für Informatik und Mathematik set up a course reserve for this lecture, see here.