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Next: 1.3. Topology Up: Algebra and Geometry Previous: 1.1. Number Theory

1.2. Geometry

Papers in journals and proceedings

J. BOCHNAK, W. KUCHARZ, Complexification of real algebraic varieties and vanishing of homology classes. Bull. London Math. Soc. 33 (2001) no. 1, 32-40.

J. BOCHNAK, W. KUCHARZ, Line bundles, regular mappings and the underlying real algebraic structure of complex algebraic varieties. Math. Ann. 316 (2000) no. 4, 793-817.

J. BOCHNAK,W. KUCHARZ, R. SILHOL, Erratum to, "Morphisms, line bundles and moduli spaces in real algebraic geometry" Inst. Hautes Etudes Sci. Publ. Math. 92 (2000) 195.

C. CILIBERTO, G. VAN DER GEER, Moduli of abelian varietes and the singularities of the theta divisor, in: Surveys of differential geometry VII, International Press, (2001) 61-81.

R. DIJKGRAAF, On the D1-D5 conformal field theory, Classical Quantum Gravity 17 (2000) 1035-1048; MR 2001h:81189.

R. DIJKGRAAF, The Mathematics of M-Theory, in: European Congress of Mathematics (Barcelona, 2000), Vol. I, C. Casacuberta et al. (eds.), Progr. Math. 201, Birkhäuser, (2001) 1-19.

F. DING, H. GEIGES, Symplectic fillability of tight contact structures on torus bundles. Algebr. Geom. Topol. 1 (2001) 153-172

G. FARKAS, The geometry of the moduli space of curves of genus 23, Math. Ann. 318 (2000) 43-65.

G. FARKAS, Brill-Noether loci and the gonality stratification of Mg, J. Reine Angew. Math. 539 (2001) 185-200.

G. VAN DER GEER, Curves over finite fields and codes, in: European Congress of Mathematics (Barcelona, 2000), Vol. II, C. Casacuberta et al. (eds.), Progr. Math. 202, Birkhäuser, (2001) 225-238.

G. VAN DER GEER, Coding theory and algebraic curves over finite fields, in: Applications of algebraic geometry to coding theory, physics and computation, C. Ciliberto et al. (eds.), Kluwer, (2001) 139-159.

G. VAN DER GEER, Error-correcting codes and curves over finite fields, in: Mathematics unlimited -- 2001 and beyond, B. Engquist and W. Schmid (eds.), Springer, (2001) 1115-1138.

G. VAN DER GEER, T. KATSURA, On a stratification of the moduli of K3 surfaces, J. Eur. Math. Soc. (JEMS) 2 (2000) 259-290.

G. VAN DER GEER, T. KATSURA, Formal Brauer groups and moduli of abelian surfaces, in: Moduli of abelian varieties (Texel Island, 1999), Progr. Math. 195, Birkhäuser, (2001) 185-202.

G. VAN DER GEER, R.SCHOOF, Effectivity of Arakelov divisors and the theta divisor of a number field, Selecta Math. (N.S.) 6 (2000) 377-398, 381.

G. VAN DER GEER, M. VAN DER VLUGT, Kummer covers with many points, Finite Fields Appl. 6 (2000) 327-341.

G. VAN DER GEER, M. VAN DER VLUGT, Tables of curves with many points, Math. Comp. 69 (2000) 797-810.

H. GEIGES, Facets of the cultural history of mathematics, European Review 8 (2000) 487-497.

H. GEIGES, Beweis des Satzes von Morley nach A. Connes. Elem. Math. 56 (2001) no. 4, 137-142.

H. GEIGES, Chern numbers of almost complex manifolds. Proc. Amer. Math. Soc. 129 (2001) no. 12, 3749-3752

H. GEIGES, Contact topology in dimension greater than three, in: European Congress of Mathematics (Barcelona, 2000), Vol. II, C. Casacuberta et al. (eds.), Progr. Math. 202, Birkhäuser, (2001) 535-545.

H. GEIGES, A brief history of contact geometry and topology. Expo. Math. 19 (2001) no. 1, 25-53.

H. GEIGES, D. RATTAGGI, Periodic automorphisms of surfaces: invariant circles and maximal orders. Experiment. Math. 9 (2000) no. 1, 75-84.

H. GEIGES, C. THOMAS, Finite group actions on the 7-sphere. Enseign. Math. (2) 46 (2000) no. 3-4, 403-410.

H. GEIGES, C. THOMAS, Contact structures, equivariant spin bordism, and periodic fundamental groups. Math. Ann. 320 (2001) no. 4, 685-708.

B. MOONEN, Group schemes with additional structures and Weyl group cosets, in: Moduli of abelian varieties (Texel Island, 1999), Progr. Math. 195, Birkhäuser, (2001) 225-298.

J.P. MURRE, Algebraic cycles on abelian varieties: application of abstract Fourier theory. The arithmetic and geometry of algebraic cycles (Banff, AB, 1998), 307-320, NATO Sci. Ser. C Math. Phys. Sci., 548, Kluwer Acad. Publ., Dordrecht, (2000).

R. RE, The rank of the Cartier operator and linear systems on curves, J. Algebra 236 (2001) 80-92.

S. M¨ULLER, H. GEIGES, Almost complex structures on 8-manifolds. Enseign. Math. (2) 46 (2000) no. 1-2, 95-107.


Ph.D. Theses

G. FARKAS, The birational geometry of the moduli space of curves, University of Amsterdam (2000).

V. SHABAT, Curves with many points, University of Amsterdam (2001).


Reports and pre-prints

R. DIJKGRAAF, J. MALDACENA, G. MOORE, E. VERLINDE, A black hole farey tail, arXiv:hep-th/005003, (2000).

F. DING, H. GEIGES, A Legendrian surgery presentation of contact 3-manifolds, arXiv:math.SG/0107045, (2001).

T. EKEDAHL, G. VAN DER GEER, The top Chern class of the Hodge bundle on the moduli space of abelian varieties, arXiv:math.AG/0009104, (2000).

G. VAN DER GEER, M. VAN DER VLUGT, An asymptotically good tower of curves of the field with eight elements, arXiv:math.AG/0102158, (2001).

G. VAN DER GEER, M. VAN DER VLUGT, The coset weight distributions of certain BCH codes and a family of curves, arXiv:math.AG/0106089, (2001).

H. GEIGES, h-principles and flexibility in geometry, Graduiertenkolleg `Analysis, Geometrie und ihre Verbindung zu den Naturwissenschaften', Universität Leipzig, Lecture Note Series 1, (2001).

H. GEIGES, J. GONZALO, Moduli of contact circles, arXiv:math.SG/0107099, (2001).

H. GEIGES, J. GONZALO, Contact spheres and quaternionic structures, arXiv:math.SG/0110106, (2001).

O.F.B. VAN KOERT, M. L¨UBKE, The natural metric in the Horrocks-Mumford bundle is not Hermitian-Einstein, arXiv:math.DG/0009226, (2000).


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Next: 1.3. Topology Up: Algebra and Geometry Previous: 1.1. Number Theory