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math.AG2022
Ulrich bundles on double covers of projective spaces
N. Mohan Kumar, Poornapushkala Narayanan, A. J. Parameswaran
In this article, we prove that any smooth projective variety which is a double cover of the projective space () admits an Ulrich bundle. When , we…
math.AG2011★ 18 cited
Spaces of rational curves in complete intersections
Roya Beheshti, N. Mohan Kumar
We prove that the space of smooth rational curves of degree in a general complete intersection of multidegree in $\PP^n$ is irreducible of the expected dimens…
math.AG2010
On codimension two subvarieties in hypersurfaces
N. Mohan Kumar, A. P. Rao, G. V. Ravindra
We show that for a smooth hypersurface $X\subset \bbP^n$ of degree at least 2, there exist arithmetically Cohen-Macaulay (ACM) codimension two subvarieties which are n…