List of figures

1.1

1.2

1.3

1.4

1.5

1.6

1.7

1.8

2.1

2.2

2.3

3.1

3.2

3.3

3.4

3.5

3.6

3.7

3.8

3.9

3.10

Transition function

Lattice L and parallelogram P

Definition of a holomorphic map

A homotopy F between 71 and 72

The homotopy FG

The homotopy F between the constant path XQ and 77"

l

Analytic continuation along a path

The Riemann surface of the function i/A —

z2

Polycylinder around 0 6

C2

Choice of the balls B\,...,Bt

The chart $

Definition of a differentiate map

Tangent vector

Chart of a submanifold

Section of a differentiable fiber bundle

Tangent vector to a phase curve

Transversal - not transversal

Critical set C and discriminant D

A x T c S

The line C x {Xt} intersects the discriminant D transversally

X0