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Currently displaying 1 – 3 of 3

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Topological equisingularity for isolated complete intersection singularities

A. J. Parameswaran — 1991

Compositio Mathematica

Open surfaces with non-positive Euler characteristic

R. V. Gurjar; A. J. Parameswaran — 1995

Compositio Mathematica

A criterion for virtual global generation

Indranil Biswas; A. J. Parameswaran — 2006

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Let $X$ be a smooth projective curve defined over an algebraically closed field $k$ , and let $F_{X}$ denote the absolute Frobenius morphism of $X$ when the characteristic of $k$ is positive. A vector bundle over $X$ is called virtually globally generated if its pull back, by some finite morphism to $X$ from some smooth projective curve, is generated by its global sections. We prove the following. If the characteristic of $k$ is positive, a vector bundle $E$ over $X$ is virtually globally generated if and only if ${(F_{X}^{m})}^{*} E ≅ E_{a} \oplus E_{f}$ for...

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