scholarly journals The absolutely Koszul and Backelin-Roos properties for spaces of quadrics of small codimension

2020 ◽  
Vol 551 ◽  
pp. 232-284
Author(s):  
Rasoul Ahangari Maleki ◽  
Liana M. Şega
Keyword(s):  
2009 ◽  
Vol 7 (4) ◽  
Author(s):  
Cristian González-Avilés

AbstractWe obtain finiteness theorems for algebraic cycles of small codimension on quadric fibrations over curves over perfect fields. For example, if k is finitely generated over ℚ and X → C is a quadric fibration of odd relative dimension at least 11, then CH i(X) is finitely generated for i ≤ 4.


1997 ◽  
Vol 08 (05) ◽  
pp. 633-643 ◽  
Author(s):  
Paltin Ionescu ◽  
Matei Toma

We study very ample vector bundles on curves. We first give numerical conditions for the existence of non-special such bundles. Then we prove the inequality [Formula: see text] over curves of genus at least two. We apply this to prove some special cases of a conjecture on scrolls of small codimension.


2000 ◽  
Vol 220 (1-3) ◽  
pp. 271-278
Author(s):  
P. Rowlinson ◽  
F.K. Bell
Keyword(s):  

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