On the characteristic foliation - TIB AV-Portal

On the characteristic foliation

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Institut Fourier

Amerik, Ekaterina

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Title

On the characteristic foliation

Title of Series

Summer School 2019 - Foliations and algebraic geometry

Number of Parts

51

Author

Amerik, Ekaterina

License

CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.

Identifiers

10.5446/63502 (DOI)

Publisher

Institut Fourier

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Abstract

Abstract - Let X be a holomorphic symplectic manifold and D a smooth hypersurface in X. Then the restriction of the symplectic form on D has one-dimensional kernel at each point. This distribution is called the characteristic foliation. I shall survey a few results concerning the possible Zariski closure of a general leaf of this foliation by myself and Campana, myself and my former student L. Guseva, and more recently by my student R. Abugaliev.

Series

Summer School 2019 - Foliations and algebraic geometry11 / 51

1

1:10:25

Foliations and birational geometry (Part 1)

2

59:00

Foliations and birational geometry (Part 3)

3

1:20:38

Foliations and birational geometry (Part 4)

4

1:20:33

Foliations and birational geometry (Part 2)

5

1:33:30

Techniques d’algébrisation en géométrie analytique, formelle, et diophantienne I (Part 1)

6

1:01:14

Techniques d’algébrisation en géométrie analytique, formelle, et diophantienne I (Part 3)

7

1:32:31

Techniques d’algébrisation en géométrie analytique, formelle, et diophantienne I (Part 2)

8

1:01:04

Techniques d’algébrisation en géométrie analytique, formelle, et diophantienne I (Part 4)

9

58:26

Minimal models of foliations

10

51:21

Wilkie's conjecture for restricted elementary functions

11

57:39

On the characteristic foliation

12

1:25:44

Birational geometry of foliations on surfaces (Part 3)

13

52:13

Birational geometry of foliations on surfaces (Part 4)

14

1:03:12

Birational geometry of foliations on surfaces (Part 2)

15

1:23:57

Birational geometry of foliations on surfaces (Part 1)

16

1:01:14

Painlevé equations and isomonodromic deformations II (Part 1)

17

1:31:30

Painlevé equations and isomonodromic deformations II (Part 3)

18

1:17:44

Painlevé equations and isomonodromic deformations II (Part 4)

19

59:11

Painlevé equations and isomonodromic deformations II (Part 2)

20

57:51

Classification of surfaces via Mori theory (Part 2)

21

1:31:21

Classification of surfaces via Mori theory (Part 4)

22

1:32:33

Classification of surfaces via Mori theory (Part 1)

23

1:02:22

Classification of surfaces via Mori theory (Part 3)

24

1:03:21

About the analytic classification of two dimensional neighborhoods of elliptic curves

25

59:57

Point counting for foliations over number fields

26

55:58

A decomposition theorem for singular spaces with trivial canonical class (Part 1)

27

1:00:36

A decomposition theorem for singular spaces with trivial canonical class (Part 2)

28

1:34:35

Introduction to holomorphic foliations (Part 4)

29

1:02:16

Introduction to holomorphic foliations (Part 1)

30

1:38:51

Introduction to holomorphic foliations (Part 3)

31

1:02:17

Introduction to holomorphic foliations (Part 2)

32

58:55

Algebraic leaves of codimension one foliations (Part 3)

33

1:04:01

Algebraic leaves of codimension one foliations (Part 4)

34

1:05:39

Techniques d’algébrisation en géométrie analytique, formelle, et diophantienne II (Part 1)

35

1:25:43

Techniques d’algébrisation en géométrie analytique, formelle, et diophantienne II (Part 2)

36

1:34:04

Techniques d’algébrisation en géométrie analytique, formelle, et diophantienne II (Part 3)

37

1:07:43

Techniques d’algébrisation en géométrie analytique, formelle, et diophantienne II (Part 4)

38

1:05:16

Existence of logarithmic and orbifold jet differentials

39

1:01:59

Algebraic leaves of codimension one foliations (Part 1)

40

1:00:07

Algebraic leaves of codimension one foliations (Part 2)

41

1:01:35

Kuranishi and Teichmüller

42

1:02:54

Kobayashi hyperbolicity of complex projective manifolds and foliations (Part 4)

43

53:44

Kobayashi hyperbolicity of complex projective manifolds and foliations (Part 2)

44

1:01:29

Kobayashi hyperbolicity of complex projective manifolds and foliations (Part 3)

45

1:04:35

Kobayashi hyperbolicity of complex projective manifolds and foliations (part 1)

46

57:38

A decomposition theorem for singular spaces with trivial canonical class (Part 4)

47

54:38

A decomposition theorem for singular spaces with trivial canonical class (Part 5)

48

59:09

Isoholonomic foliations of moduli spaces of Riemann surfaces

49

1:06:50

Singular foliations in sub-Riemannian geometry and the Strong Sard Conjecture

50

58:10

A decomposition theorem for singular spaces with trivial canonical class (Part 3)

51

59:36

The Jouanolou foliation

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