Counting plane curves of any genus

Inventiones Mathematicae

Volumn 131, Issue 2, 1998, Pages 345-392

  Caporaso, Lucia ^a,b   Harris, Joe ^a  

^a HARVARD UNIVERSITY   (United States)

^b UNIVERSITY OF ROME TOR VERGATA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032331510     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002220050208     Document Type: Article

References (12)

1. E. Arbarello, M. Cornalba, Su una congettura di Petri. Comment. Math. Helvetici 56, pp. 1-38 (1981)
2. L. Caporaso, J. Harris, Parameter spaces for curves on surfaces and enumeration of rational curves. preprint 1995
3. S. Diaz, J. Harris, Geometry of the Severi variety. Trans.A.M.S. 309, pp. 1-34 (1988)
4. 1,4 and Gromov-Witten invariants in genus 1. MPI Preprint 1996
5. J. Harris, On the Severi problem. Invent. Math. 84, pp. 445-461 (1986)
6. J. Kollar, Rational curves on algebraic varieties. Springer 1996
7. M. Kontsevich, Y. Manin, Gromov-Witten classes, quantum cohomology and enumerative geometry. preprint
8. r,d) and enumerative geometry. preprint 1995
9. Z. Ran, Enumerative geometry of singular plane curves. Invent. Math. 97, pp. 447-465 (1989)
10. Y. Ruan, G. Tian, A mathematical theory of quantum cohomology, J. Diff. Geom. 42 No. 2, pp. 259-367 (1995)
11. I. Vainsencher, Counting divisors with prescribed singularities. Trans AMS 267, 399-422 (1981)
12. R. Vakil, Curves on rational ruled surfaces. preprint 1996