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math.AG1998
The Abel-Jacobi map of a moduli component of vector bundles on the cubic threefold
D. Markushevich, A. S. Tikhomirov
The Abel-Jacobi map of the family of elliptic quintics lying on a general cubic threefold is studied. It is proved that it factors through a moduli component of stable rank 2 vecto…
math.AG1998
Exceptional quotient singularities
D. Markushevich, Yu. G. Prokhorov
A singularity is said to be exceptional (in the sense of V. Shokurov), if for any log canonical boundary, there is at most one exceptional divisor of discrepancy -1. In our previou…
math.AG1998
Klein's group defines an exceptional singularity of dimension 3
D. Markushevich, Yu. G. Prokhorov
We construct two examples of canonical exceptional singularities.