A. Hogadi

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math.AG2008

The Brauer Group of a Smooth Orbifold

Amit Hogadi

Let $k$ be a field and $X / k$ be a smooth quasiprojective orbifold. Let $X \to X$ be its coarse moduli space. In this paper we study the Brauer group of $X$ and compare i…

math.AG2007

Products of Brauer Severi surfaces

Amit Hogadi

Let ${P_{i}}_{1 \leq i \leq r}$ and ${Q_{i}}_{1 \leq i \leq r}$ be two collections of Brauer Severi surfaces (resp. conics) over a field $k$ . We show that the subgroup generated by…

math.AG2006

Degenerations of Rationally Connected Varieties

Amit Hogadi, Chenyang Xu

We prove that a degeneration rationally connected varieties over a field of characteristic zero always contains a geometrically irreducible subvariety which is rationally connected…