59 citations · 292 across the 40 of their papers we have counts for
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alg-geom1997★ 6 cited
The enumerative geometry of rational and elliptic curves in projective space
Ravi Vakil
We study the geometry of varieties parametrizing degree d rational and elliptic curves in P^n intersecting fixed general linear spaces and tangent to a fixed hyperplane H with fixe…
alg-geom1997★ 1 cited
Genus g Gromov-Witten invariants of Del Pezzo surfaces: Counting plane curves with fixed multiple points
Ravi Vakil
As another application of the degeneration methods of [V3], we count the number of irreducible degree geometric genus plane curves, with fixed multiple points on a conic $E…
alg-geom1997★ 13 cited
Counting curves of any genus on rational ruled surfaces
Ravi Vakil
In this paper we study the geometry of the Severi varieties parametrizing curves on the rational ruled surface $\fn$. We compute the number of such curves through the appropriate n…