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2022-11-10
Terms:
- smoothing component
- rational double point
- normal surface singularity
- cusp singularity
- elliptic singularity
- triangle singularity
- del Pezzo surface
- anticanonical divisor
- complete surface
- Inoue surfaces
- minimal resolution
- globalized deformation
- rational curve
- irreducible curve
- nodal curve
- anticanonical pair
- Looijenga's conjecture
- semistable model
- integral affine structure
- larangian torus fibration
- maximally unipotent degeneration
- type III degeneration
- ample cone
- effective cone
- normal crossings divisor
- reduced divisor
- double curve
- triple point
- symplectic boundary reduction
- Hirzebruch-Inoue surface
- flop
- nodal slide
Find a good interpretation for the matrix \(M = (D_i \cdot D_j), \operatorname{tr}(M), \operatorname{det}(M)\), etc. It looks like the self-intersection sequence above is \(\operatorname{tr}(M)\).
integral affine manifold connection to lagrangian torus fibration 
Almost toric blowup; 
Blowup matrix is negative definite: 
Toric stuff
Finding fans for orbifold quotients:
Toric del Pezzo surfaces: 
