34 citations · 92 across the 13 of their papers we have counts for
13 papers
Corrections to {\it Uniformity of rational points} and further comments
Lucia Caporaso, Joe Harris, Barry Mazur
This paper corrects an error in the authors' earlier work, by proving stronger forms of the basic lemmas
Powers of Ideals and Fibers of Morphisms
David Eisenbud, Joe Harris
Let X\subset PP^n be a projective scheme over a field, and let phi:X --> Y be a finite morphism. Our main result is a formula in terms of global data for the maximum of the Casteln…
A remark on the Schottky locus in genus 4
J. Harris, K. Hulek
We determine the class of the (closure of the) Schottky locus in genus 4 in the Igusa- and the Voronoi compactification of A_4 and comment on the weight 8 modular form which vanish…
Rational connectivity and sections of families over curves
T. Graber, J. Harris, B. Mazur +1
We show that if a family of complex varieties over a base B admits a section when restricted to a very general curve in B, then the family must contain a subfamily of rationally co…
Rational curves on hypersurfaces of low degree, II
Joe Harris, Jason Starr
This is a continuation of "Rational curves on hypersurfaces of low degree", math.AG/0203088. We prove that if d^2+d+1 < n and d > 2, then for a general hypersurface X_d in P^n of d…
A note on Hurwitz schemes of covers of a positive genus curve
Tom Graber, Joe Harris, Jason Starr
We prove the irreducibility of the space parametrizing branched covers of a fixed Riemann surface of degree , with at least 2d branch points, and with monodromy group equal…