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I wish to add a bit more reference on this question.

1. For dimension 1, it can be found in Malgrange's book "equations differentielles a coefficients polynomiaux" P60 Theorem (3.1), that (honomic D module on a curve) is equivalent to the category of (local system outside of singularities, stokes structure on the singularities, some compactibility condition desribed by vanishing cycles). Part I of Sabbah's book "an introduction to stokes structre" also gives a nice introduction.

2. For higher dimension, Part II of Sabbah's book discusses the case of "good" meromorphic connections.

I wish to add a bit more reference on this question.

1. For dimension 1, it can be found in Malgrange's book "equations differentielles a coefficients polynomiaux" P60 Theorem (3.1), that (honomic D module on a curve) is equivalent to the category of (local system outside of singularities, stokes structure on the singularities, some compactibility condition desribed by vanishing cycles). Part I of Sabbah's book "an introduction to stokes structure" also gives a nice introduction.

2. For higher dimension, Part II of Sabbah's book discusses the case of "good" meromorphic connections.

I wish to add a bit more reference on this question.

1. For dimension 1, it can be found in Malgrange's book "equations differentielles a coefficients polynomiaux" P60 Theorem (3.1), that (honomic D module on a curve) is equivalencet to the category of (local system outside of singularities, stokes structure on the singularities, some compactibility condition desribed by vanishing cycles). Part I of Sabbah's book "an introduction to stokes structre" also gives a nice introduction.

2. For higher dimension, Part II of Sabbah's book discusses the case of "good" meromorphic connections.

I wish to add a bit more reference on this question.

1. For dimension 1, it can be found in Malgrange's book "equations differentielles a coefficients polynomiaux" P60 Theorem (3.1), that (honomic D module on a curve) is equivalent to the category of (local system outside of singularities, stokes structure on the singularities, some compactibility condition desribed by vanishing cycles). Part I of Sabbah's book "an introduction to stokes structre" also gives a nice introduction.

2. For higher dimension, Part II of Sabbah's book discusses the case of "good" meromorphic connections.

I wish to add a bit more reference on this question.

1. For dimension 1, it can be found in Malgrange's book "equations differentielles a coefficients polynomiaux" P60 Theorem (3.1), that (honomic D module on curve) is equivalencet to the category of (local system outside of singularities, stokes structures on the singularities, some compactibility condition desribed by vanishing cycles). Part I of Sabbah's book "an introduction to stokes structre" gives a detailed introduction.

2. For higher dimension, Part II of Sabbah's book discusses the case of "good" meromorphic connections.

I wish to add a bit more reference on this question.

1. For dimension 1, it can be found in Malgrange's book "equations differentielles a coefficients polynomiaux" P60 Theorem (3.1), that (honomic D module on a curve) is equivalencet to the category of (local system outside of singularities, stokes structure on the singularities, some compactibility condition desribed by vanishing cycles). Part I of Sabbah's book "an introduction to stokes structre" also gives a nice introduction.

2. For higher dimension, Part II of Sabbah's book discusses the case of "good" meromorphic connections.