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Results tagged with ag.algebraic-geometry
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user 22709
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
1
vote
Geometric interpretation of integrals of coordinate rings
Just a quick answer: I have maybe slightly different Hopf algebras in mind as you, but in my applications the integral often behaves like the fundamental class of a manifold.
[Added as answer:] The …
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1
vote
0
answers
87
views
Ext-Ring of (equivariant) sheaves over a variety
Apologies if this is a standard question for algebaric geometry colleagues: Suppose I have a variety, what is the ring Ext(1,1) of self-extensions of the unit object (trivial sheaf) in the categoy of …
- 1,846
5
votes
0
answers
234
views
Which properties of the pullback/restriction functor imply surjectivity of a ring homomorphism
Let $f:R\to S$ be a homomorhpism of (noncommutative) algebras over some field k (say the complex numbers) and let $F:Rep(S)\to Rep(R)$ be the corresponding functor between the categories of finite-dim …
- 1,846
3
votes
1
answer
366
views
Spin structure for varieties, especially finite field
I wonder about the notion of a spin structure for varieties over any field and results in this direction. For example, I wonder if there is something like a spin-bundle for the sphere $x^2+y^2+z^2=R^2 …
- 1,846
3
votes
0
answers
147
views
Parallel transport for variety over finite field
I was wondering: Given a variety over a finite field, say the projective plane or sphere over $\mathbb{F}_q$. Then I can try to define parallel transport along (geodesic) curves. In particular, I can …
- 1,846
13
votes
1
answer
399
views
Chiral homology for the Virasoro algebra and/or affine Lie algebra
I want to understand what concrete analytical objects are found in chiral homology of higher degree of a vertex algera (-module) $M$. More precisely: I can obtain conformal blocks on a surface $\Sigma …
- 1,846