# Questions tagged [algebraic-geometry]

Use for questions about algebraic geometry as it applies to physics. Purely mathematical questions should NOT go here, instead, they belong on Math Stack Exchange.

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### Is the Godel universe Wick rotatable?

Take Wick Rotatability being as the way defined in the article by Helleland: Wick rotations and real GIT Is the Gödel universe Wick rotatable according to this definition?
• 1,212
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### Decomposition of vector bundle in $M$-theory

I was studying this paper where the authors construct some field theory solutions by wrapping M5-branes on holomorphic curves on Calabi-Yau. I have some questions about their construction. What they ...
• 4,118
1 vote
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### Resource recommendation for geometrical viewpoint of physics [closed]

I am interested in seeing the geometrical viewpoint of the formulation of quantum field theory and related fields. I have been studying The Geometry of Quantum States and find it a very good approach ...
1 vote
144 views

### Shankar Monopole belonging to the class $-1$ of $\pi_3(\mathbb{R}P^3)$

I am having a lot of trouble trying to understand how the classes of homotopy groups relate to point-defects in physics (and how they can be used/represent in general). This is a problem from Nakahara'...
• 704
1 vote
37 views

### Are there examples of harmonic differential forms in non-singular projective algebraic varieties that appear in general relativity or quantum physics?

I would like to study some real physical examples of harmonic differential forms in non-singular projective algebraic varieties. As Calabi - Yau and Kahler manifolds are used in supersymmetry theories ...
1 vote
43 views

### Does $\mathcal{N}=1$ SCFTs have geometric constructions?

There are class S theories which are 4d $\mathcal{N}=2$ SCFTs by compactifying 6d $\mathcal{N}=(2,0)$ SCFT on a Riemann surface. Does similar geometric constructions exist for 4d $\mathcal{N}=1$ SCFTs?...
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12k views

### Crash course on algebraic geometry with view to applications in physics

Could you please recommend any good texts on algebraic geometry (just over the complex numbers rather than arbitrary fields) and on complex geometry including Kahler manifolds that could serve as an ...