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Results tagged with monodromy
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user 78824
3
votes
1
answer
170
views
How can I determine the monodromy of this variation of mixed hodge structures?
Consider the variation of mixed hodge structures which generates at the origin:
$$
f:X = \text{Proj}\left( \frac{\mathbb{C}[t][x,y,z]}{(xy(x + y + tz))} \right) \to \mathbb{A}^1_t
$$
How can I compute the monodromy …
- 1,716
23
votes
2
answers
2k
views
What are examples of D-modules that I should have in mind while learning the theory?
What are examples of D-modules, which demonstrate
monodromy
D-modules on nontrivial spaces, such as projective curves or surfaces
D-modules with support on a singular space (so I can apply Kashiwara's …
- 1,716
4
votes
What are examples of D-modules that I should have in mind while learning the theory?
one useful example: Consider the $\mathcal{D}_{\mathbb{A}^1}$-module
$$
\frac{\mathcal{D}_{\mathbb{A}^1}}{\mathcal{D}_{\mathbb{A}^1}(t\partial_t - \beta)}
$$
is a local system on $\mathbb{C}^*$ with monodromy …
- 1,716
4
votes
0
answers
198
views
How can I describe the monodromy of this variation of singular curves?
Around these points I can use the picard-lefschetz formula to describe the monodromy, but I am at a loss as to how to describe the monodromy around $t=1$. Are there any tools for accomplishing this? …
- 1,716