Four-By-Four Pfaffians

Ravindra Girivaru; N Mohan Kumar; A P Rao

Four-By-Four Pfaffians

Ravindra Girivaru, N Mohan Kumar, A P Rao

University of Missouri-St. Louis

Research output: Contribution to journal › Article › peer-review

Abstract

This paper shows that the general hypersurface of degree ≥ 6 in projective four space cannot support an indecomposable rank two vector bundle which is Arithmetically CohenMacaulay and four generated. Equivalently, the equation of the hypersurface is not the Pfaffian of a four by four minimal skewsymmetric matrix.

Original language	American English
Journal	Rendiconti del Seminario Matematico. Universita e Politecnico Torino
State	Published - 2006

Disciplines

Mathematics

Cite this

@article{998140ed0ef247e3a1237208a46e9b71,

title = "Four-By-Four Pfaffians",

abstract = " This paper shows that the general hypersurface of degree ≥ 6 in projective four space cannot support an indecomposable rank two vector bundle which is Arithmetically CohenMacaulay and four generated. Equivalently, the equation of the hypersurface is not the Pfaffian of a four by four minimal skewsymmetric matrix.",

author = "Ravindra Girivaru and \{Mohan Kumar\}, N and Rao, \{A P\}",

year = "2006",

language = "American English",

journal = "Rendiconti del Seminario Matematico. Universita e Politecnico Torino",

}

TY - JOUR

T1 - Four-By-Four Pfaffians

AU - Girivaru, Ravindra

AU - Mohan Kumar, N

AU - Rao, A P

PY - 2006

Y1 - 2006

N2 - This paper shows that the general hypersurface of degree ≥ 6 in projective four space cannot support an indecomposable rank two vector bundle which is Arithmetically CohenMacaulay and four generated. Equivalently, the equation of the hypersurface is not the Pfaffian of a four by four minimal skewsymmetric matrix.

AB - This paper shows that the general hypersurface of degree ≥ 6 in projective four space cannot support an indecomposable rank two vector bundle which is Arithmetically CohenMacaulay and four generated. Equivalently, the equation of the hypersurface is not the Pfaffian of a four by four minimal skewsymmetric matrix.

UR - http://www.cs.umsl.edu/~girivaru/pfaffian.pdf

M3 - Article

JO - Rendiconti del Seminario Matematico. Universita e Politecnico Torino

JF - Rendiconti del Seminario Matematico. Universita e Politecnico Torino

ER -

Four-By-Four Pfaffians

Abstract

Disciplines

Other files and links

Cite this