3 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.AG2025
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…
math.AG2025
Morphisms from to flag varieties
Xinyi Fang, Peng Ren
In this paper, we consider the morphisms from projective spaces to flag varieties. We show that the morphisms can only be constant under some special conditions. As a consequence,…