Daniel Krashen - Publications and Preprints

Publications

1. Index reduction for Brauer classes via stable sheaves (with Max Lieblich, appendix by Bhargav Bhatt).

   To appear in International Math. Research Notices

2. Corestrictions of algebras and splitting fields,

   To appear in Transactions of the American Mathematical Society.

3. Zero cycles on homogeneous varieties,

   To appear in Advances in Mathematics.

4. Pointed trees of projective spaces (with Linda Chen and Angela Gibney),

   To appear in the Journal of Algebraic Geometry.

5. Birational maps between generalized Severi-Brauer varieties,

   To appear in the Journal of Pure and Applied Algebra.

6. Motives of unitary and orthogonal homogeneous varieties,

   Journal of Algebra, Vol 318/1 pp 135-139, 2007

7. Severi-Brauer Varieties and Symmetric Powers (with David Saltman),

   Invariant Theory and Algebraic Transformation Groups, Encyclopaedia of Mathematical Sciences, Vol. 132, Springer-Verlag 2004 (refereed).

8. Severi-Brauer varieties of semidirect product algebras,

   Documenta Mathematica, vol 8 (2003), pp 527-546.

Preprints

9. Relative Brauer groups of genus $1$ curves (with Mirela Ciperiani),

   submitted for publication

10. Appendix to Period and index in the Brauer group of an arithmetic surface (by Max Lieblich).

• Birational isomorphisms between Severi-Brauer varieties,

  PhD Thesis, University of Texas at Austin.

• Moduli of \'etale subalgebras in a central simple algebra,

  not intended for publication in present form as much of this material has been subsumed in the above paper ``Zero cycles on homogeneous varieties'').