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Concept

Dualizing sheaf

Cours associés (4)

MATH-506: Topology IV.a - Cohomology rings

Singular cohomology is defined by dualizing the singular chain complex for spaces. We will study its basic properties, see how it acquires a multiplicative structure and becomes a graded commutative algebra. We study an algebraic version, namely group coho ...

MATH-410: Riemann surfaces

This course is an introduction to the theory of Riemann surfaces. Riemann surfaces naturally appear is mathematics in many different ways: as a result of analytic continuation, as quotients of complex domains under discontinuous group actions, as algebraic ...

MATH-473: Complex manifolds

The goal of this course is to help students learn the basic theory of complex manifolds and Hodge theory. ...

MATH-535: Algebraic geometry III - selected topics

This course is an introduction to intersection theory on algebraic varieties. An important aim of the course is to develop geometric intuition while using the language of schemes developed in the basic algebraic geometry course, thus building a solid foun ...