Mumford's Degree of Contact and Diophantine Approximations

Compositio Mathematica

Volumn 121, Issue 3, 2000, Pages 247-262

  Ferretti, Roberto G ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

Arakelov geometry; Blow up; Chow point; Degree of contact; Diophantine approximations; Elliptic surfaces; Geometric invariant theory; Local rings; Ruled surfaces; Segre class

Indexed keywords

EID: 0005276914     PISSN: 0010437X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1001726515286     Document Type: Article

References (14)

1. Faltings, G. and Wüstholz, G.: Diophantine approximations on projective spaces, Invent. Math. 116 (1994), 109-138.
2. Ferretti, R. G.: Quantitative diophantine approximations on projective varieties, Preprint.
3. Fulton, W.: Intersection Theory, Springer, New York, 1984.
4. Gieseker, D.: Global moduli for surfaces of general type, Invent. Math. 43 (1977), 233-282.
5. Hartshorne, R.: Algebraic Geometry, Springer, New York, 1977.
6. Ishii, S.: Chow instability of certain projective varieties, Nagoya Math. J. 92 (1983), 39-50.
7. Miranda, R.: Projectively unstable elliptic surfaces, Illinois J. Math. 27 (1983), 404-420.
8. Morrison, I.: Projective stability of ruled surfaces, Invent. Math. 56 (1980), 269-304.
9. McQuillan, M. L.: Quelque compléments à une démonstration de Faltings, C.R. Acad. Sci. Paris, 319 (1994), 649-652.
10. Mumford, D.: Stability of projective varieties, Enseign. Math. 23 (1977), 39-110.
11. Schmidt, W. M.: Diophantine Approximations and Diophantine Equations, Lecture Notes in Math. 1467, Springer, New York, 1991.
12. Shah, J.: Stability of two-dimensional local ring. I, Invent. Math. 64 (1981), 297-343.
13. Soulé, C. et. al., Lectures on Arakelov Geometry, Cambridge University Press, 1992.
14. Vojta, P.: Diophantine Approximations and Value Distribution Theory, Lecture Notes in Math. 1239, 1987.