scholarly journals Infinite-dimensional complex projective spaces and complete intersections

2006 ◽  
Vol 131 (4) ◽  
pp. 419-425
Author(s):  
E. Ballico
Keyword(s):  
Projective Spaces ◽  
Complete Intersections ◽  
Infinite Dimensional ◽  
Complex Projective Spaces ◽  
Complex Projective

AN EXHAUSTIVE LIST OF COMPLETE INTERSECTION CALABI-YAU MANIFOLDS

1994 ◽  
Vol 09 (24) ◽  
pp. 2235-2243 ◽  
Author(s):  
M. GAGNON ◽  
Q. HO-KIM
Keyword(s):  
Complete Intersection ◽  
Projective Spaces ◽  
Complete Intersections ◽  
Euler Numbers ◽  
Cartesian Products ◽  
Complex Projective Spaces ◽  
Complex Projective ◽  
Exhaustive List ◽  
Calabi Yau Manifolds

We have obtained a new list of Calabi-Yau manifolds realized as complete intersections of polynomials in Cartesian products of complex projective spaces. It contains 97,360 configurations with Euler numbers ranging from 0 to −200. A remarkable structure emerges from this compilation.

Branched Coverings and Minimal Free Resolution for Infinite-Dimensional Complex Spaces

2003 ◽  
Vol 10 (1) ◽  
pp. 37-43
Author(s):  
E. Ballico
Keyword(s):  
Projective Space ◽  
Projective Spaces ◽  
Free Resolution ◽  
Complete Intersections ◽  
Vanishing Theorem ◽  
Sheaf Cohomology ◽  
Minimal Free Resolution ◽  
Branched Coverings ◽  
Infinite Dimensional ◽  
Complex Spaces

Abstract We consider the vanishing problem for higher cohomology groups on certain infinite-dimensional complex spaces: good branched coverings of suitable projective spaces and subvarieties with a finite free resolution in a projective space P(V ) (e.g. complete intersections or cones over finitedimensional projective spaces). In the former case we obtain the vanishing result for H 1. In the latter case the corresponding results are only conditional for sheaf cohomology because we do not have the corresponding vanishing theorem for P(V ).

Sign in / Sign up

Export Citation Format

Share Document