The Lefschetz Theorem on Hyperplane Sections

1959 ◽  
Vol 69 (3) ◽  
pp. 713 ◽  
Author(s):  
Aldo Andreotti ◽  
Theodore Frankel
Keyword(s):  
Lefschetz Theorem ◽  
Hyperplane Sections

Noether-Lefschetz theorem

1990 ◽  
Vol 60 (2) ◽  
pp. 465-472 ◽  
Author(s):  
Xian Wu
Keyword(s):  
Lefschetz Theorem

Double Covers of Some Fano Manifolds as Hyperplane Sections

1998 ◽  
Vol 193 (1) ◽  
pp. 93-110
Author(s):  
Antonio Lanteri ◽  
Gianluca Occhetta
Keyword(s):  
Fano Manifolds ◽  
Double Covers ◽  
Hyperplane Sections

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.

scholarly journals Normal hyperplane sections of normal schemes in mixed characteristic

2018 ◽  
Vol 47 (6) ◽  
pp. 2412-2425
Author(s):  
Jun Horiuchi ◽  
Kazuma Shimomoto
Keyword(s):  
Mixed Characteristic ◽  
Hyperplane Sections
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