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University of Cambridge > Talks.cam > Algebraic Geometry Seminar > Refined curve counting on surfaces

## Refined curve counting on surfacesAdd to your list(s) Download to your calendar using vCal - Lothar Goettsche (ICTP, Trieste)
- Wednesday 19 January 2011, 14:15-15:15
- MR13, CMS.
If you have a question about this talk, please contact Burt Totaro. The author’s conjecture was recently proved: for a sufficiently ample line bundle L on a surface S, the number of curves with d nodes in a general d-dimensional linear system inside |L| is given by a universal polynomial of degree d in the four integers L.L, L.K_S, K_S.K_S, and c_2(S). In particular, it follows that these curve counts are essentially topological invariants, which was not at all clear. The talk will suggest a possible refinement of these results. The idea is new enough that it has not yet settled into a precise conjecture. This talk is part of the Algebraic Geometry Seminar series. ## This talk is included in these lists:- Algebraic Geometry Seminar
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