Generators for Vector Bundles on Generic Hypersurfaces

Ravindra Girivaru; N Mohan Kumar; A P Rao

Generators for Vector Bundles on Generic Hypersurfaces

Ravindra Girivaru, N Mohan Kumar, A P Rao

University of Missouri-St. Louis

Research output: Contribution to journal › Article › peer-review

Abstract

We prove that on a generic hypersurface in P^(m+1) of dimension at least 3, a vector bundle with r ≤ m generators must be split if m is odd. If m is even, then the same is true if the degree of X is at least 3.

Original language	American English
Journal	Mathematical Research Letter
State	Published - 2007

Disciplines

Mathematics

Cite this

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title = "Generators for Vector Bundles on Generic Hypersurfaces",

abstract = " We prove that on a generic hypersurface in P\textasciicircum{}(m+1) of dimension at least 3, a vector bundle with r ≤ m generators must be split if m is odd. If m is even, then the same is true if the degree of X is at least 3.",

author = "Ravindra Girivaru and \{Mohan Kumar\}, N and Rao, \{A P\}",

year = "2007",

language = "American English",

journal = "Mathematical Research Letter",

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TY - JOUR

T1 - Generators for Vector Bundles on Generic Hypersurfaces

AU - Girivaru, Ravindra

AU - Mohan Kumar, N

AU - Rao, A P

PY - 2007

Y1 - 2007

N2 - We prove that on a generic hypersurface in P^(m+1) of dimension at least 3, a vector bundle with r ≤ m generators must be split if m is odd. If m is even, then the same is true if the degree of X is at least 3.

AB - We prove that on a generic hypersurface in P^(m+1) of dimension at least 3, a vector bundle with r ≤ m generators must be split if m is odd. If m is even, then the same is true if the degree of X is at least 3.

UR - http://www.cs.umsl.edu/~girivaru/newbundle.pdf

M3 - Article

JO - Mathematical Research Letter

JF - Mathematical Research Letter

ER -

Generators for Vector Bundles on Generic Hypersurfaces

Abstract

Disciplines

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