CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCMB
Publications        
Abstract view

The Noether--Lefschetz Theorem Via Vanishing of Coherent Cohomology

  Published:2008-06-01
 Printed: Jun 2008
  • G. V. Ravindra
Format:   HTML   LaTeX   MathJax   PDF   PostScript  

Abstract

We prove that for a generic hypersurface in $\mathbb P^{2n+1}$ 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.
Keywords: Noether--Lefschetz, algebraic cycles, Picard number Noether--Lefschetz, algebraic cycles, Picard number
MSC Classifications: 14C15, 14C25 show english descriptions (Equivariant) Chow groups and rings; motives
Algebraic cycles
14C15 - (Equivariant) Chow groups and rings; motives
14C25 - Algebraic cycles
 

© Canadian Mathematical Society, 2014 : https://cms.math.ca/