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math.AG1999
Twelve points on the projective line, branched covers, and rational elliptic fibrations
Ravi Vakil
The following divisors in the space Sym^{12} P^1 of twelve points on P^1 are actually the same: (A) the possible locus of the twelve nodal fibers in a rational elliptic fibration (…
math.AG1999
The Gromov-Witten potential of a point, Hurwitz numbers, and Hodge integrals
Ian Goulden, David Jackson, Ravi Vakil
Hurwitz numbers, which count certain covers of the projective line (or, equivalently, factorizations of permuations into transpositions), have been extensively studied for over a c…