Computing Chow Forms and Some Applications

2001 ◽  
Vol 41 (1) ◽  
pp. 52-68 ◽  
Author(s):  
Gabriela Jeronimo ◽  
Susana Puddu ◽  
Juan Sabia
Keyword(s):  
Chow Forms

Introduction to Chow Forms

1995 ◽  
pp. 37-58 ◽  
Author(s):  
John Dalbec ◽  
Bernd Sturmfels
Keyword(s):  
Chow Forms

Chow forms and Hodge cohomology classes

2014 ◽  
Vol 352 (4) ◽  
pp. 339-343 ◽  
Author(s):  
Michel Méo
Keyword(s):  
Hodge Cohomology ◽  
Chow Forms

scholarly journals On the Chow-forms of elliptic normal curves of degree 4

2000 ◽  
Vol 24 (1) ◽  
pp. 109-125 ◽  
Author(s):  
Tatsuji Tanaka
Keyword(s):  
Chow Forms

scholarly journals Minimal resolutions, Chow forms and Ulrich bundles on K3 surfaces

2017 ◽  
Vol 2017 (730) ◽  
Author(s):  
Marian Aprodu ◽  
Gavril Farkas ◽  
Angela Ortega
Keyword(s):  
Projective Variety ◽  
K3 Surfaces ◽  
Minimal Resolution ◽  
Chow Forms ◽  
Minimal Resolutions

AbstractThe Minimal Resolution Conjecture (MRC) for points on a projective variety

scholarly journals Cayley Forms and Self-Dual Varieties

2013 ◽  
Vol 57 (1) ◽  
pp. 89-109 ◽  
Author(s):  
F. Catanese
Keyword(s):  
Quadratic Equation ◽  
Space Curve ◽  
Zero Set ◽  
Dual Variety ◽  
Quadratic Equations ◽  
Dual Varieties ◽  
Chow Forms ◽  
The Ideal

AbstractGeneralized Chow forms were introduced by Cayley for the case of 3-space; their zero set on the Grassmannian G(1, 3) is either the set Z of lines touching a given space curve (the case of an ‘honest’ Cayley form), or the set of lines tangent to a surface. Cayley gave some equations for F to be a generalized Cayley form, which should hold modulo the ideal generated by F and by the quadratic equation Q for G(1, 3). Our main result is that F is a Cayley form if and only if Z = G(1, 3) ∩ {F = 0} is equal to its dual variety. We also show that the variety of generalized Cayley forms is defined by quadratic equations, since there is a unique representative F0 + QF1 of F, with F0, F1 harmonic, such that the harmonic projection of the Cayley equation is identically 0. We also give new equations for honest Cayley forms, but show, with some calculations, that the variety of honest Cayley forms does not seem to be defined by quadratic and cubic equations.

scholarly journals On arithmetical bounds of Chow-forms

2004 ◽  
Vol 28 (2) ◽  
pp. 363-376
Author(s):  
Tatsuji Tanaka
Keyword(s):  
Chow Forms

Product formulas for resultants and Chow forms

1993 ◽  
Vol 214 (1) ◽  
pp. 377-396 ◽  
Author(s):  
Paul Pedersen ◽  
Bernd Sturmfels
Keyword(s):  
Chow Forms ◽  
Product Formulas
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