On the enumeration of rational plane curves with tangency conditions

Details On the enumeration of rational plane curves with tangency conditions On the enumeration of rational plane curves with tangency conditions

2005-09-28

arxiv.org/abs/math/0509671v1

Mathematics

Algebraic Geometry

17 pages

Scientific paper

We use twisted stable maps to answer the following question. Let E\subset P^2 be a smooth cubic. How many rational degree d curves pass through a general points of E, have b specified tangencies with E and c unspecified tangencies, and pass through 3d-1-a-2b-c general points of P^2? The answer is given as a generalization of Kontsevich's recursion. We also investigate more general enumerative problems of this sort, and prove an analogue of a formula of Caporaso and Harris.

Affiliated with

Also associated with

No associations

Rating

On the enumeration of rational plane curves with tangency conditions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the enumeration of rational plane curves with tangency conditions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the enumeration of rational plane curves with tangency conditions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-238978