Subcanonicity of codimension two subvarieties.

Enrique Arrondo

Revista Matemática Complutense (2005)

  • Volume: 18, Issue: 1, page 69-80
  • ISSN: 1139-1138

Abstract

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We prove that smooth subvarieties of codimension two in Grassmannians of lines of dimension at least six are rationally numerically subcanonical. We prove the same result for smooth quadrics of dimension at least six under some extra condition. The method is quite easy, and only uses Serre s construction, Porteous formula, and Hodge index theorem.

How to cite

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Arrondo, Enrique. "Subcanonicity of codimension two subvarieties.." Revista Matemática Complutense 18.1 (2005): 69-80. <http://eudml.org/doc/44544>.

@article{Arrondo2005,
abstract = {We prove that smooth subvarieties of codimension two in Grassmannians of lines of dimension at least six are rationally numerically subcanonical. We prove the same result for smooth quadrics of dimension at least six under some extra condition. The method is quite easy, and only uses Serre s construction, Porteous formula, and Hodge index theorem.},
author = {Arrondo, Enrique},
journal = {Revista Matemática Complutense},
keywords = {Variedades proyectivas; Subvariedades; Teoría de la dimensión; Cuádricas; subcanonical varieties; Grassmannians; quadrics},
language = {eng},
number = {1},
pages = {69-80},
title = {Subcanonicity of codimension two subvarieties.},
url = {http://eudml.org/doc/44544},
volume = {18},
year = {2005},
}

TY - JOUR
AU - Arrondo, Enrique
TI - Subcanonicity of codimension two subvarieties.
JO - Revista Matemática Complutense
PY - 2005
VL - 18
IS - 1
SP - 69
EP - 80
AB - We prove that smooth subvarieties of codimension two in Grassmannians of lines of dimension at least six are rationally numerically subcanonical. We prove the same result for smooth quadrics of dimension at least six under some extra condition. The method is quite easy, and only uses Serre s construction, Porteous formula, and Hodge index theorem.
LA - eng
KW - Variedades proyectivas; Subvariedades; Teoría de la dimensión; Cuádricas; subcanonical varieties; Grassmannians; quadrics
UR - http://eudml.org/doc/44544
ER -

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