Anupam Bhatnagar

activity

20102014

collaborators

4 papers

math.AG2014

The Moduli Space of Totally Marked Degree Two Rational Maps

Anupam Bhatnagar

A rational map $ϕ : P^{1} \to P^{1}$ along with an ordered list of fixed and critical points is called a totally marked rational map. The space of totally marked degre…

math.DS2013

Isotriviality and the space of morphisms on projective varieties

Anupam Bhatnagar, Alon Levy

Let $K = k (C)$ be the function field of a smooth projective curve $C$ over an infinite field $k$ , let $X$ be a projective variety over $k$ . We prove two results. First, we show with…

math.AG2011

Projective varieties covered by isotrivial families

Anupam Bhatnagar

Let X,Y be projective schemes over a discrete valuation ring R, where Y is generically smooth and g:X \to Y a surjective R-morphism such that g_*\mathcal{O}_X = \mathcal{O}_Y. We s…

math.DS2010

Very ample polarized self maps extend to projective space

Anupam Bhatnagar, Lucien Szpiro

Let $X$ be a projective variety defined over an infinite field, equipped with a line bundle $L$ , giving an embedding of $X$ into $\mb{P}^m$ and let $ϕ : X \to X$ be a morphism such…