Ziv Ran Publications
Technical Publications
Journal Articles
1. Ran, Z. 1981. "On Subvarieties of Abelian Varieties". Invent. math. p.459-479. (Refereed)
2. Ran, Z. 1981. "Cycles on Fermat Hypersurfaces". Compositio Math. p.121-142. (Refereed)
3. Ran, Z. 1982. "A Characterization of Five-Dimensional Jacobian Varieties". Invent. math. p.395-422. (Refereed)
4. Ran, Z. 1983. "On Projective Varieties of Codimension 2". Inventiones mathematicae. p.333-336. (Refereed)
5. Ran, Z. 1983. "A United-Set Formula". Bulletin (New Series) of the American Mathematical Society. p.329-332. (Refereed)
6. Ran, Z. 1984. "Systemes lineaires complets de sections hypersurfaces sur les varietes projectives de codimension 2". C.R. Acad. Sc. Paris. p.111-112. (Refereed)
7. Ran, Z. 1984. "The Structure of Guass-Like Maps". Compositio Mathematica. p.171-177. (Refereed)
8. Chang, M., Ran, Z. 1984. "Unirationality of the moduli spaces of curves of genus 11, 13 (and 12)". Inventiones mathematicae. p.41-54. (Refereed)
9. Ran, Z. 1985. "Curvilinear enumerative geometry". Acta Math. p.81-101. (Refereed)
10. Chang, M., Ran, Z. 1985. "Closed Families of Smooth Space Curves". Duke Mathematical Journal. p.707-713. (Refereed)
11. Ran, Z. 1986. On a theorem of Martens. Rend. Sem. Mat. Torino. p.287-291. (Refereed)
12. Ran, Z., Chang, M.C. 1986. The Kodaria dimension of the moduli space of curves of genus 15. J.Differenctial Geometry 24. p.205-220. (Refereed)
13. Ran, Z. 1986. "Surfaces of order 1 in Grassmannians". Crelle's J. p.119-126. (Refereed)
14. Ran, Z. 1986. "On Nodal Plane Curves". Invent. Math. p.529-534. (Refereed)
15. Ran, Z. 1986. "On a Theorem of Martens". Classificazione per soggetto AMS. p.287-291. (Refereed)
16. Chang, M., Ran, Z. 1986. "The Kodaira Dimension of the Moduli Space of Curves of Genus 15". J. Differential Geometry. p.205-220. (Refereed)
17. Ran, Z. 1987. "The Degree of a Severi Variety". Bull. Amer. Math Soc. p.125-128. (Refereed)
18. Ran, Z. 1989. "Enumerative geometry of singular plane curves". Inventiones mathematicae. p.447-465. (Refereed)
19. Ran, Z. 1989. "Families of plane curves and their limits: Enriques' conjecture and beyond". Annals of Mathematics. p.121-157. (Refereed)
20. Ran, Z. 1990. "Local Differential Geometry and Generic Projections of Threefolds". J. Differential Geometry. p.131-137. (Refereed)
21. Chang, M., Ran, Z. 1991. "On the Slope and Kodaira Dimension of Mg for Small g". Differential Geometry. p.267-274. (Refereed)
22. Ran, Z. 1991. "Stability of Certain Holomorphic Maps". J. Differential Geometry. p.37-47. (Refereed)
23. Ran, Z. 1991. "The (dimension + 2)-secant Lemma". Invent. math. p.65-71. (Refereed)
24. Ran, Z. 1991. "Stability of Certain Holomorphic Maps". J. Differential Geometry. p.37-47. (Refereed)
25. Ran, Z. 1991. "A remark on hyperelliptic curves". Arch. Math. p.622-624. (Refereed)
26. Ran, Z. 1992. "Lifting of Cohomology and Unobstructedness of Certain Holomorphic Maps". Bulletin (New Series) of the American Mathematical Society. p.113-117. (Refereed)
27. Ran, Z. 1992. "Deformations of Manifolds with Torsion or Negative Canonical Bundle". J. Algebraic Geometry. p.279-291. (Refereed)
28. Ran, Z. 1993. "Derivatives of Moduli". International Mathematics Research Notices. p.93-106. (Refereed)
29. Chang, M., Ran, Z. 1993. "Divisors on Some Generic Hypersurfaces". J. Differential Geometry. p.671-678. (Refereed)
30. Ran, Z. 1993. "Hodge Theory and the Hilbert Scheme". J. Differential Geometry. p.191-198. (Refereed)
31. Chang, M., Ran, Z. 1994. "Dimension of families of space curves". Compositio Mathematica. p.53-57. (Refereed)
32. Ran, Z. 1995. "Hodge theory and deformations of maps". Compositio Mathematica. p.309-328. (Refereed)
33. Ran, Z. 1997. "On the period maps of projective hypersurfaces". Proceedings of the Royal Society of Edinburgh. p.859-869. (Refereed)
34. Ran, Z. 1998. "On the quantum cohomology of the plane, old and new, and a K3 analogue". Collect. Math. p.519-526. (Refereed)
35. Ran, Z. 1998. "The Number of Unisecant Rational Cubics to a Plane Cubic". Quart. J. Math. Oxford. p.487-489. (Refereed)
36. Ran, Z. 1998. "Deformations of Calabi-Yau Kleinfolds". Studies in Advanced Mathematics. p.391-397. (Refereed)
37. Ran, Z. 1999. "Semiregularity, Obstructions, and Deformations of Hodge Classes". Ann. Scuola Norm. Sup. Pisa Cl. Sci. p.809-821. (Refereed)
38. Ran, Z. 1999. "Universal variations of Hodge structure and Calabi-Yau-Schottky relations". Invent. math. p.425-449. (Refereed)
39. Ran, Z. 1999. "Bend, Break and Count". Israel Journal of Mathematics. p.109-124. (Refereed)
40. Ran, Z. 2000. "Canonical Infinitesimal Deformations". J. Algebraic Geometry. p.43-69. (Refereed)
41. Ran, Z., Clemens, H. 2000. "A New Method in Fano Geometry". International Mathematics Research Notices. p.527-549. (Refereed)
42. Ran, Z. 2001. "The Degree of the Divisor of Jumping Rational Curves". Quart J. Math. p.367-383. (Refereed)
43. Lopez, A., Ran, Z. 2003. "On the Irreducibility of Secant Cones, and an Application to Linear Normality". Duke Mathematical Journal. p.389-401. (Refereed)
44. Ran, Z. 2004. "Enumerative Geometry of Divisorial Families of Rational Curves". Ann. Scuola. Norm. p.67-85. (Refereed)
45. Clemens, H., Ran, Z. 2004. "Twisted Genus Bounds for Subvarities of Generic Hypersurfaces". American Journal of Mathematics. p.89-120. (Refereed)
46. Ran, Z. 2005. A note on Hilbert schemes of nodal curves. J. Algebra 292. p.429-446. (Refereed)
47. Ran, Z. 2005. "Geometry on Nodal Curves". Compositio Math. p.1191-1212. (Refereed)
48. Ran, Z. 2005. "The Atiyah Extension of a Lie Algebra Deformation". Journal of Lie Theory. p.497-503. (Refereed)
49. Ran, Z. 2005. Jacobi cohomology, local geometry of moduli spaces, and Hitchin's connection. Proc. London Math. Society. p.1-33. (Refereed)
50. Clemens, H., Ran, Z. 2005. "Erratum to "Twisted Genus Bounds for Subvarities of Generic Hypersurfaces". American Journal of Mathematics. p.241-242. (Refereed)
(Submitted)
1. Ran, Z. Cycle maps on Hilbert schemes of nodal curves. Projectile Varieties with Unexpected properties . (Submitted 12/01/2004.) (Refereed)
Conference and Symposia Proceedings
1. Ran, Z., Chang, M.C. 1985. Deformations and smoothings of complete linear systems on reucible curves. Providence: Amer. Math Soc. p.63-75. (Refereed, )
2. Ran, Z. 1987. "The Severi Problem: A Post-Mortem (?)". World Scientific. p.394-407. (Refereed, )
3. Chang, M., Ran, Z. 1987. "A Note on the Slope of Subvarieties of M15". World Scientific. p.408-411. (Refereed, )
4. Chang, M., Ran, Z. 1987. "Divisors on Mg and the Cosmological Constant". World Scientific. p.386-393. (Refereed, )
5. Ran, Z. 1988. "Deformations of Maps". Springer-Verlag. p.246-253. (Refereed, )
6. Ran, Z. 1991. "Absence of the Veronese from Smooth Threefolds in P5". Sundance. p.125-128. (Refereed, )
7. Ran, Z. 1996. On the local geometry of moduli spaces of vector bundles. M. Dekker. p.213-220. (Refereed, )
8. Ran, Z. 1997. "on the Quantum cohomology of the plane, old and new. Pisa, Scuola Normale Superiore. p.104-107. (Refereed, )
9. Ran, Z. 1997. "Thickening Calabi-Yau moduli spaces". Providence: AMS & Birkhauser. p.393-400. (Refereed, )
10. Ran, Z. 2002. On Semipositivity of sheaves of differential operators and the degree of a unipolar Q-Fano variety. Contemporary Math. . p.177-186. (Refereed, )