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On intersection of two embedded spheres in 3-space
intersection two embedded spheres 3-space
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2011/1/18
We find necessary and sufficient conditions on sequences x = x1, x2, . . . , xn, y = y1, y2, ..., yn of positive integers, for existence of embeddings f, g : S2 → R3 such that S2 − g−1(S2)...
A Lefschetz duality intersection homology
Lefschetz duality intersection homology singular sets
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2011/1/21
We prove a Lefschetz duality result for intersection homology. Usually, this result applies to pseudomanifolds with boundary which are assumed to have a ”collared neighborhood of their boundary”. Our ...
Towards bounded negativity of self-intersection on general blown-up projective planes
bounded negativity of self-intersection general blown-up projective planes
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2011/2/25
We address the problem of bounding from below the self-intersection of integral curves on the projective plane blown-up at general points.In particular, by applying classical deformation theory we obt...