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comment blow-up along singular variety
Can one explain the example of blowing up along a snc divisor? e.g. Blowing up P^3 along union of two planes.
Oct
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comment Is there an algorithm to compute the intersection of tautological classes on the moduli space of genus one curves?
If only calculation of specific numbers are concerned, you can use GROWI software to calculate any GW of projective space.
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comment manifold branched covering space for orbifolds
@ Dylan: en.wikipedia.org/wiki/Branched_covering
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revised manifold branched covering space for orbifolds
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comment manifold branched covering space for orbifolds
@ Ariyan: Think this way, if X is a non simply-connected manifold, instead of orbifold, then such M is simply a finite covering of X.
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Mar
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comment Symplectic form/Kahler metric on a toric manifold
Even for m=2 case of example above, it seems to me that the equality you want does not hold. The coefficient of $dz\wedge d\bar{z}$ in $f^*w_{FS}$ is equal to $[a(4|z|^4+|w|^2)-4|z|^4|w|^2]/a^2$, with $a=(1+|z|^4+|z|^2|w|^2+|w|^4)$, which is different from the corresponding coefficient of $dz\wedge d\bar{z}$ in $w_{FS}$ of $\mathbb{P}^1$.
Mar
30
comment Symplectic form/Kahler metric on a toric manifold
Have you checked this for $f:\mathbb{P}^1\to \mathbb{P}^{m}$, $[z,w]\to[z^m,z^{m-1}w,\ldots, w^m]$? here, everything is explicitly checkable.
Mar
28
comment Symplectic form/Kahler metric on a toric manifold
are not they equal? up to scaling?