scholarly journals A construction of codimension three arithmetically Gorenstein subschemes of projective space

1997 ◽  
Vol 349 (9) ◽  
pp. 3803-3821 ◽  
Author(s):  
Juan C. Migliore ◽  
Chris Peterson
Keyword(s):  
Projective Space ◽  
Arithmetically Gorenstein

scholarly journals Glicci ideals

2013 ◽  
Vol 149 (9) ◽  
pp. 1583-1591 ◽  
Author(s):  
Juan Migliore ◽  
Uwe Nagel
Keyword(s):  
Projective Space ◽  
Finite Number ◽  
Complete Intersection ◽  
Central Problem ◽  
Fat Points ◽  
Dimensional Projective Space ◽  
Liaison Theory ◽  
Arithmetically Gorenstein ◽  
The Given ◽  
Simple Points

AbstractA central problem in liaison theory is to decide whether every arithmetically Cohen–Macaulay subscheme of projective $n$-space can be linked by a finite number of arithmetically Gorenstein schemes to a complete intersection. We show that this can indeed be achieved if the given scheme is also generically Gorenstein and we allow the links to take place in an $(n+ 1)$-dimensional projective space. For example, this result applies to all reduced arithmetically Cohen–Macaulay subschemes. We also show that every union of fat points in projective 3-space can be linked in the same space to a union of simple points in finitely many steps, and hence to a complete intersection in projective 4-space.

scholarly journals Embedding Feynman integral (Calabi-Yau) geometries in weighted projective space

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Jacob L. Bourjaily ◽  
Andrew J. McLeod ◽  
Cristian Vergu ◽  
Matthias Volk ◽  
Matt von Hippel ◽  
...  
Keyword(s):  
Projective Space ◽  
Feynman Integral ◽  
Weighted Projective Space

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 ).

scholarly journals Varieties of minimal rational tangents on double covers of projective space

2012 ◽  
Vol 275 (1-2) ◽  
pp. 109-125 ◽  
Author(s):  
Jun-Muk Hwang ◽  
Hosung Kim
Keyword(s):  
Projective Space ◽  
Double Covers

scholarly journals From surfaces in the 5-sphere to 3-manifolds in complex projective 3-space

2002 ◽  
Vol 66 (3) ◽  
pp. 465-475 ◽  
Author(s):  
J. Bolton ◽  
C. Scharlach ◽  
L. Vrancken
Keyword(s):  
Projective Space ◽  
Minimal Surface ◽  
Complex Projective Space ◽  
Lagrangian Submanifold ◽  
3 Dimensional ◽  
Ellipse Of Curvature ◽  
Complex Projective

In a previous paper it was shown how to associate with a Lagrangian submanifold satisfying Chen's equality in 3-dimensional complex projective space, a minimal surface in the 5-sphere with ellipse of curvature a circle. In this paper we focus on the reverse construction.

scholarly journals Characterization of quadric cones in a Galois projective space

2000 ◽  
Vol 218 (1-3) ◽  
pp. 25-31 ◽  
Author(s):  
Rossella Di Monte ◽  
Osvaldo Ferri ◽  
Stefania Ferri
Keyword(s):  
Projective Space

Visibility and parallelotopes in projective space

1981 ◽  
Vol 16 (1) ◽  
pp. 19-29 ◽  
Author(s):  
Reuven R. Rottenberg
Keyword(s):  
Projective Space
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