2 papers
math.AG2026
Anti-Zariski pairs
Peng Ren, Eugenii Shustin
In 1929, O. Zariski found a pair of complex plane algebraic curves of the same degree and with the same collection of singularities, but embedded into the plane in a topologically…
math.AG2024
Stability of syzygy bundles on varieties of Picard number one
Chen Jiang, Peng Ren
We give a criterion for slope-stability of the syzygy bundle of a globally generated ample line bundle on a smooth projective variety of Picard number in terms of Hilbert polyn…