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Results tagged with projective-geometry
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user 78824
7
votes
1
answer
478
views
How can I construct D-modules over projective space using explicit differential equations?
Over $\mathbb{A}^n$, it is easy to construct D-modules by writing down an explicit linear system of PDE's and then writing a presentation of the associated D-module
$$
\mathcal{D}^n \xrightarrow{} \ma …
- 1,716
-1
votes
1
answer
464
views
How do I find the algebra representing the projective bundle of a direct sum of line bundles...
I am trying to learn how to compute the projective bundle $\mathbb{P}(\mathcal{O}(a_1)\oplus \cdots \mathcal{O}(a_k))$ over some projective space using relative proj. How can I find a presentation for …
- 1,716
2
votes
0
answers
220
views
What techniques are available for constructing D-modules over smooth projective varieties?
I'm trying to learn about D-modules for computing intersection cohomology but I'm having trouble coming up with explicit constructions of D-modules on projective varieties. Since this is an involved p …
- 1,716
2
votes
1
answer
320
views
Where can I find a proof of identity of $H^1(X,T_X)$ and a quotient by the jacobian?
I'm reading some notes on hodge theory by Charles Siegel which makes a claim on page 16 relating the space of deformations of a smooth projective hypersurface $X$ with the jacobian ideal. More specifi …
- 1,716