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Aleksey Zinger
Department of Mathematics
       
Stanford University |
Publications and Preprints
Note:
Some of the linked .pdf files are difficult to read on
the screen, but they still should print out fine.
For short summaries of all papers and a diagram of connections between the papers,
see either the .ps
or .pdf version
of Publication and Preprints.
- A Desingularization of the Main Component of\linebreak
the Moduli Space of Genus-One Stable Maps into Pn,
joint with R. Vakil, in preparation
- On the Genus-One Gromov-Witten Invariants of a Quintic Threefold,
joint with J. Li,
math.AG/0406105, 55 pages, 5 figures
(.ps, .pdf)
- On the Genus-One Gromov-Witten Invariants of Complete Intersections,
joint with J. Li,
math.AG/0507104, 45 pages, 4 figures, 1 table
(.ps, .pdf)
- Reduced Genus-One Gromov-Witten Invariants,
math.SG/0507103, 48 pages, 5 figures
(.ps, .pdf)
- On the Structure of Certain Natural Cones over Moduli
Spaces of Genus-One Holomorphic Maps,
math.SG/0406104, 45 pages, 3 figures
(.ps, .pdf)
- A Compactification of the Moduli Space of Holomorphic Maps
from Smooth Genus-One Riemann Surfaces,
![]()
math.SG/0406103, 78 pages, 7 figures
(.ps, .pdf)
- Counting Rational Curves of Arbitrary Shape in Projective Spaces,
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math.AG/0210146, 15 figures, 5 tables, Geom. Top. 9 (2005), 571-697
(.ps, .pdf)
- Enumeration of One-Nodal Rational Curves in Projective Spaces,
![]()
math.AG/0204236, 9 figures, 1 table,
Topology 43 (2004), no. 4, pp 793-829
(.ps, .pdf)
- Enumeration of Genus-Three Plane Curves with a Fixed Complex Structure,
![]()
math.SG/0203058, 3 tables, J. Algebraic Geom. 14 (2005), no. 1, 35-81
(.ps, .pdf)
- Enumeration of Genus-Two Curves with a Fixed Complex Structure
in P2 and P3,
![]()
math.SG/0201254, 2 figures, 3 tables,
J. Diff. Geom. 65 (2003), no. 3, 341-467
(.ps, .pdf)
- Enumerative vs. Symplectic Invariants and Obstruction Bundles,
math.SG/0201255, 76 pages, to appear in J. Symplectic Geom.
(.ps, .pdf)
- Completion of Katz-Qin-Ruan's Enumeration of Genus-Two Plane Curves,
![]()
math.AG/0201216, 3 figures, 1 table,
J. Algebraic Geom. 13 (2004), no. 3, 547-561
(.ps, .pdf)
- The Exponential Decay Rate of the Lower Bound for the First Eigenvalue
of Compact Manifolds,
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joint with M. Kalka, E. Mann, and D. Yang,
1 figure, Internat. J. Math. 8 (1997), no. 3, 345--355
(.ps, .pdf)
Miscellaneous
- Enumerative Algebraic Geometry via Techniques of
Symplectic Topology and Analysis of Local Obstructions,
Ph. Thesis (2002), 240 pages, 8 tables
(.ps, .pdf)
- Basic Estimates of Riemannian Geometry Used in
Gluing Pseudoholomorphic Maps,
expository notes, 13 pages
(.ps, .pdf)
- Counting Plane Rational Curves: Old and New Approaches,
math.AG/0507105, expository notes, 32 pages, 2 figures, 2 tables
(.ps, .pdf)
This page is maintained by
Aleksey Zinger.
Last modified: July 22, 2005.