4 citations · 6 across the 4 of their papers we have counts for
7 papers · 1 filter
On the cusp form motives in genus 1 and level 1
C. Consani, C. Faber
We prove that the moduli space of stable n-pointed curves of genus one and the projector associated to the alternating representation of the symmetric group on n letters define (fo…
Limits of translates of plane curves -- on a paper of Aldo Ghizzetti
Paolo Aluffi, Carel Faber
We study the limits of PGL(3) translates of an arbitrary plane curve, giving a description of all possible limits of a given curve and computing the multiplicities of corresponding…
Complete subvarieties of moduli spaces and the Prym map
Carel Faber, Gerard van der Geer
We prove that in characteristic p>0 the locus of stable curves of p-rank at most f is pure of codimension g-f in the moduli space of stable curves. Then we consider the Prym map an…
Relative maps and tautological classes
C. Faber, R. Pandharipande
The moduli space of stable relative maps to the projective line combines features of stable maps and admissible covers. We prove all standard Gromov-Witten classes on these moduli…
Logarithmic series and Hodge integrals in the tautological ring (with an appendix by D. Zagier)
C. Faber, R. Pandharipande
We describe a new perspective on the intersection theory of the moduli space of curves involving both Virasoro constraints and Gorenstein conditions. The main result of the paper i…
Hodge integrals, partition matrices, and the lambda_g conjecture
C. Faber, R. Pandharipande
We prove a closed formula for integrals of the cotangent line classes against the top Chern class of the Hodge bundle on the moduli space of stable pointed curves. These integrals…