generic hypersurface
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scholarly journals The Noether–Lefschetz Theorem Via Vanishing of Coherent Cohomology

2008 ◽  
Vol 51 (2) ◽  
pp. 283-290 ◽  
Author(s):  
G. V. Ravindra
Keyword(s):  
Picard Number ◽  
Generic Hypersurface ◽  
Lefschetz Theorem

AbstractWe prove that for a generic hypersurface in ℙ2n+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.

Generic hypersurface singularities

1997 ◽  
Vol 107 (2) ◽  
pp. 139-154 ◽  
Author(s):  
James Alexander ◽  
André Hirschowitz
Keyword(s):  
Generic Hypersurface ◽  
Hypersurface Singularities

On the totally tangent lines to a generic hypersurface of degree 4n?4 in ? n

1992 ◽  
Vol 59 (5) ◽  
pp. 505-512
Author(s):  
Luciana Picco Botta ◽  
Daniela Romagnoli
Keyword(s):  
Generic Hypersurface

scholarly journals The Gauss map of a generic hypersurface in $\mathbf{P}^4$

1989 ◽  
Vol 30 (3) ◽  
pp. 689-759 ◽  
Author(s):  
Clint McCrory ◽  
Theodore Shifrin ◽  
Robert Varley
Keyword(s):  
Gauss Map ◽  
Generic Hypersurface
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