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1. A DG Guide to Voevodsky’s Motives

   Alexander Beilinson, Vadim Vologodsky in Geometric and Functional Analysis

   Article 06 February 2008

2. Zero-cycles on self-product of modular curves

   We use the elements in K -cohomology groups which are constructed by Flach and Mildenhall to obtain a finiteness result for the torsion part of the...

   Kenichiro Kimura in Mathematische Zeitschrift

   Article 14 December 2006

3. The minimal height of quadratic forms of given dimension

   Given an arbitrary n , we consider anisotropic quadratic forms of dimension n over all fields of characteristic  ≠  2 and prove that the height of an n -d...

   Jürgen Hurrelbrink, Nikita A. Karpenko, Ulf Rehmann in Archiv der Mathematik

   Article 01 December 2006

4. A relation between the parabolic Chern characters of the de Rham bundles

   Jaya N. N. Iyer, Carlos T. Simpson in Mathematische Annalen

   Article 10 March 2007

5. The Chern Character of a Parabolic Bundle, and a Parabolic Corollary of Reznikov’s Theorem

   In this paper, we obtain an explicit formula for the Chern character of a locally abelian parabolic bundle in terms of its constituent bundles....

   Jaya N. Iyer, Carlos T. Simpson in Geometry and Dynamics of Groups and Spaces

   Chapter 2007
   

6. Specialization of the torsion subgroup of the Chow group

   An example is given in which specialization is not injective.

   Chad Schoen in Mathematische Zeitschrift

   Article 10 August 2005

7. Deforming Curves in Jacobians to Non-Jacobians I: Curves in C ⁽²⁾

   We introduce deformation theoretic methods for determining when a curve X in a nonhyperelliptic Jacobian JC will deform with JC to a non-Jacobian. We...

   E. Izadi in Geometriae Dedicata

   Article 29 November 2005

8. Deforming Curves in Jacobians to Non-Jacobians II: Curves in C^(e), 3⩽ e ⩽ g−3*

   We introduce deformation theoretic methods for determining when a curve X in a nonhyperelliptic Jacobian JC will deform with JC to a non-Jacobian. We...

   E. Izadi in Geometriae Dedicata

   Article 01 October 2005

9. Boundaries of varieties in projective manifolds

   We give a characterization of the boundaries of holomorphic chains in complex projective space. This extends previous work of the authors and...

   F. Reese Harvey, H. Blaine Lawson in The Journal of Geometric Analysis

   Article 01 December 2004

10. Polygonal cycles in higher Chow groups of Jacobians

    The aim of this paper is to construct non-trivial cycles in the first higher Chow group of the Jacobian of a curve having special torsion points. The...

    J.C. Naranjo, G.P. Pirola, F. Zucconi in Annali di Matematica Pura ed Applicata (1923 -)

    Article 01 August 2004

11. Indecomposable cycles on special quartics in ℙ³

     In this note we give an example of an indecomposable higher Chow cycle on a special family of quartics in ℙ ³ . The example is obtained as an...

    Jaya N. Iyer in manuscripta mathematica

    Article 01 July 2003

12. The de Rham Bundle on a Compactification of Moduli Space of Abelian Varieties

    Jaya N. Iyer in Compositio Mathematica

    Article 01 May 2003

13. Cycles algébriques et topologie des surfaces bielliptiques, réelles

    F. Mangolte in Commentarii Mathematici Helvetici

    Article 01 April 2003

14. On the first Witt index of quadratic forms

    We prove Hoffmann’s conjecture determining the possible values of the first Witt index of anisotropic quadratic forms of any given dimension. The...

    Nikita A. Karpenko in Inventiones mathematicae

    Article 10 April 2003

15. Cycles and Spectra

    Some recent work on spaces of algebraic cycles is surveyed. The main focus is on spaces of real and quaternionic cycles and their relation to...

    H. Blaine Lawson Jr. in Bulletin of the Brazilian Mathematical Society

    Article 01 April 2003

16. A Semiregularity Map for Modules and Applications to Deformations

    We construct a general semiregularity map for algebraic cycles as asked for by S.Bloch in 1972. The existence of such a semiregularity map has well...

    Ragnar-Olaf Buchweitz, Hubert Flenner in Compositio Mathematica

    Article 01 June 2003

17. Cycle Spaces of Real Forms of SLn(ℂ)

    Let us introduce the notation and goals of this paper in the context of an example. For this let the complex Lie group G ℂ = SL3(ℂ) act...

    Alan T. Huckleberry, Joseph A. Wolf in Complex Geometry

    Chapter 2002
    

18. Relations Among Heegner Cycles on Families of Abelian Surfaces

    We compute relations of rational equivalence among special codimension 2 cycles on families of Abelian surfaces using elements of a higher Chow...

    Ramesh Sreekantan in Compositio Mathematica

    Article 01 July 2001

19. Some variants of the logarithm

    We construct certain extensions of Hodge structures using points on algebraic curves and study them. We also introduce and use a related function...

    Reuben Rabi in manuscripta mathematica

    Article 01 August 2001

20. Subvarieties of Abelian Varieties

    We discuss various constructions which allow one to embed a principally polarized abelian variety in the jacobian of a curve. Each of these gives...

    E. Izadi in Applications of Algebraic Geometry to Coding Theory, Physics and Computation

    Chapter 2001