HIGHER GEOMETRY

Academic Year 2021-2022

Teachers

Pietro De Poi

Unit Credits

Teaching Period

Second Period

Course Type

Supplementary

Prerequisites. First two years of first-level degree in Mathematics

Teaching Methods. Lectures on blackboard. Homework which will be discussed before the lectures. Careful study at home by the student.

Verification of Learning. Written examination on exercises followed by an oral theoretical examination. Alternatively, oral examination and a final seminar on an argument—which presupposes the knowledge of the course—chosen by the student.

More Information. Oral examination by appointment also.

Other topics can be taught upon request.

The course could be held in English, upon proposal of the competent teaching structure.

Objectives

To understand basic complex geometry. To understand those basic topics of Riemann geometry useful to study the class of projective varieties. To use the language of differential forms and of vector bundles in the case of complex varieties.

We present some topics of Riemannian

Geometry, which can be formalized by the techniques of modern homological algebra. We introduce some abstract techniques used in modern research.

Texts

Simon Donaldson, Riemann surfaces. Oxford Graduate Texts in Mathematics, 22. Oxford University Press, Oxford, 2011. xiv+286 pp. ISBN: 978-0-19-960674-0

Academic Year 2021-2022

HIGHER GEOMETRY

Pietro De Poi

Unit Credits

Teaching Period

Course Type

Objectives

Contents

Texts

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