Gorenstein liaison of some curves in P4.

Joshua Lesperance

Collectanea Mathematica (2001)

  • Volume: 52, Issue: 3, page 219-230
  • ISSN: 0010-0757

Abstract

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Despite the recent advances made in Gorenstein liaison, there are still many open questions for the theory in codimension ≥ 3. In particular we consider the following question: given two curves in Pn with isomorphic deficiency modules (up to shift), can they be evenly Gorenstein linked? The answer for this is yes for curves in P3, due to Rao, but for higher codimension the answer is not known. This paper will look at large classes of curves in P4 with isomorphic deficiency modules and show that they can be Gorenstein linked. However, we are not able to prove (or disprove) the general case.

How to cite

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Lesperance, Joshua. "Gorenstein liaison of some curves in P4.." Collectanea Mathematica 52.3 (2001): 219-230. <http://eudml.org/doc/42760>.

@article{Lesperance2001,
abstract = {Despite the recent advances made in Gorenstein liaison, there are still many open questions for the theory in codimension ≥ 3. In particular we consider the following question: given two curves in Pn with isomorphic deficiency modules (up to shift), can they be evenly Gorenstein linked? The answer for this is yes for curves in P3, due to Rao, but for higher codimension the answer is not known. This paper will look at large classes of curves in P4 with isomorphic deficiency modules and show that they can be Gorenstein linked. However, we are not able to prove (or disprove) the general case.},
author = {Lesperance, Joshua},
journal = {Collectanea Mathematica},
keywords = {Curvas espaciales; Anillo local; Ligaduras Gorenstein; Codimensión},
language = {eng},
number = {3},
pages = {219-230},
title = {Gorenstein liaison of some curves in P4.},
url = {http://eudml.org/doc/42760},
volume = {52},
year = {2001},
}

TY - JOUR
AU - Lesperance, Joshua
TI - Gorenstein liaison of some curves in P4.
JO - Collectanea Mathematica
PY - 2001
VL - 52
IS - 3
SP - 219
EP - 230
AB - Despite the recent advances made in Gorenstein liaison, there are still many open questions for the theory in codimension ≥ 3. In particular we consider the following question: given two curves in Pn with isomorphic deficiency modules (up to shift), can they be evenly Gorenstein linked? The answer for this is yes for curves in P3, due to Rao, but for higher codimension the answer is not known. This paper will look at large classes of curves in P4 with isomorphic deficiency modules and show that they can be Gorenstein linked. However, we are not able to prove (or disprove) the general case.
LA - eng
KW - Curvas espaciales; Anillo local; Ligaduras Gorenstein; Codimensión
UR - http://eudml.org/doc/42760
ER -

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