Pieri-type intersection formulas and primary obstructions for decomposing 2-forms

Sinan Sertöz

Colloquium Mathematicae (2001)

  • Volume: 87, Issue: 2, page 201-210
  • ISSN: 0010-1354

Abstract

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We study the homological intersection behaviour for the Chern cells of the universal bundle of G(d,Qₙ), the space of [d]-planes in the smooth quadric Qₙ in n + 1 over the field of complex numbers. For this purpose we define some auxiliary cells in terms of which the intersection properties of the Chern cells can be described. This is then applied to obtain some new necessary conditions for the global decomposability of a 2-form of constant rank.

How to cite

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Sinan Sertöz. "Pieri-type intersection formulas and primary obstructions for decomposing 2-forms." Colloquium Mathematicae 87.2 (2001): 201-210. <http://eudml.org/doc/284270>.

@article{SinanSertöz2001,
abstract = {We study the homological intersection behaviour for the Chern cells of the universal bundle of G(d,Qₙ), the space of [d]-planes in the smooth quadric Qₙ in $ℙ^\{n+1\}$ over the field of complex numbers. For this purpose we define some auxiliary cells in terms of which the intersection properties of the Chern cells can be described. This is then applied to obtain some new necessary conditions for the global decomposability of a 2-form of constant rank.},
author = {Sinan Sertöz},
journal = {Colloquium Mathematicae},
keywords = {homological intersection; Chern cells},
language = {eng},
number = {2},
pages = {201-210},
title = {Pieri-type intersection formulas and primary obstructions for decomposing 2-forms},
url = {http://eudml.org/doc/284270},
volume = {87},
year = {2001},
}

TY - JOUR
AU - Sinan Sertöz
TI - Pieri-type intersection formulas and primary obstructions for decomposing 2-forms
JO - Colloquium Mathematicae
PY - 2001
VL - 87
IS - 2
SP - 201
EP - 210
AB - We study the homological intersection behaviour for the Chern cells of the universal bundle of G(d,Qₙ), the space of [d]-planes in the smooth quadric Qₙ in $ℙ^{n+1}$ over the field of complex numbers. For this purpose we define some auxiliary cells in terms of which the intersection properties of the Chern cells can be described. This is then applied to obtain some new necessary conditions for the global decomposability of a 2-form of constant rank.
LA - eng
KW - homological intersection; Chern cells
UR - http://eudml.org/doc/284270
ER -

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