The Noether-Lefschetz Theorem via Vanishing of Coherent Cohomology

Ravindra Girivaru

The Noether-Lefschetz Theorem via Vanishing of Coherent Cohomology

University of Missouri-St. Louis

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

Abstract

We prove that for a generic hypersurface in P^(2n+1) of degree at least 2 + 2/n, the n-th Picard number is one. The proof is algebraic in nature and follows from certain coherent cohomology vanishing.

Original language	American English
Journal	Canadian Math Bulletin
State	Published - 2008

Disciplines

Mathematics

Cite this

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title = "The Noether-Lefschetz Theorem via Vanishing of Coherent Cohomology",

abstract = " We prove that for a generic hypersurface in P^(2n+1) of degree at least 2 + 2/n, the n-th Picard number is one. The proof is algebraic in nature and follows from certain coherent cohomology vanishing.",

author = "Ravindra Girivaru",

year = "2008",

language = "American English",

journal = "Canadian Math Bulletin",

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TY - JOUR

T1 - The Noether-Lefschetz Theorem via Vanishing of Coherent Cohomology

AU - Girivaru, Ravindra

PY - 2008

Y1 - 2008

N2 - We prove that for a generic hypersurface in P^(2n+1) of degree at least 2 + 2/n, the n-th Picard number is one. The proof is algebraic in nature and follows from certain coherent cohomology vanishing.

AB - We prove that for a generic hypersurface in P^(2n+1) of degree at least 2 + 2/n, the n-th Picard number is one. The proof is algebraic in nature and follows from certain coherent cohomology vanishing.

UR - http://www.cs.umsl.edu/~girivaru/picard1.pdf

M3 - Article

JO - Canadian Math Bulletin

JF - Canadian Math Bulletin

ER -

The Noether-Lefschetz Theorem via Vanishing of Coherent Cohomology

Abstract

Disciplines

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