On the structure of linked 3-folds.

Aldo Biancofiore; Maria Lucia Fania

Revista Matemática Complutense (2001)

  • Volume: 14, Issue: 1, page 17-44
  • ISSN: 1139-1138

Abstract

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The structure of 3-folds in P6 which are generally linked via a complete intersection (f1,f2,f3) to 3-folds in P6 of degree d ≤ 5 is determined. We also give three new examples of smooth 3-folds in P6 of degree 11 and genus 9. These examples are obtained via liaison. The first two are 3-folds linked via a complete intersection (2,3,3) to 3-folds in P6 of degree 7: (i) the hyperquadric fibration over P1 and (ii) the scroll over P2. The third example is Pfaffian linked to a 3-dimensional quadric in P6.

How to cite

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Biancofiore, Aldo, and Fania, Maria Lucia. "On the structure of linked 3-folds.." Revista Matemática Complutense 14.1 (2001): 17-44. <http://eudml.org/doc/44451>.

@article{Biancofiore2001,
abstract = {The structure of 3-folds in P6 which are generally linked via a complete intersection (f1,f2,f3) to 3-folds in P6 of degree d ≤ 5 is determined. We also give three new examples of smooth 3-folds in P6 of degree 11 and genus 9. These examples are obtained via liaison. The first two are 3-folds linked via a complete intersection (2,3,3) to 3-folds in P6 of degree 7: (i) the hyperquadric fibration over P1 and (ii) the scroll over P2. The third example is Pfaffian linked to a 3-dimensional quadric in P6.},
author = {Biancofiore, Aldo, Fania, Maria Lucia},
journal = {Revista Matemática Complutense},
keywords = {Geometría algebraica; 3-Variedades; Variedades proyectivas; Fibración; Curvas lisas},
language = {eng},
number = {1},
pages = {17-44},
title = {On the structure of linked 3-folds.},
url = {http://eudml.org/doc/44451},
volume = {14},
year = {2001},
}

TY - JOUR
AU - Biancofiore, Aldo
AU - Fania, Maria Lucia
TI - On the structure of linked 3-folds.
JO - Revista Matemática Complutense
PY - 2001
VL - 14
IS - 1
SP - 17
EP - 44
AB - The structure of 3-folds in P6 which are generally linked via a complete intersection (f1,f2,f3) to 3-folds in P6 of degree d ≤ 5 is determined. We also give three new examples of smooth 3-folds in P6 of degree 11 and genus 9. These examples are obtained via liaison. The first two are 3-folds linked via a complete intersection (2,3,3) to 3-folds in P6 of degree 7: (i) the hyperquadric fibration over P1 and (ii) the scroll over P2. The third example is Pfaffian linked to a 3-dimensional quadric in P6.
LA - eng
KW - Geometría algebraica; 3-Variedades; Variedades proyectivas; Fibración; Curvas lisas
UR - http://eudml.org/doc/44451
ER -

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