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Keywords
(1)
Complete Intersection
Related Publications
(1)
Gorenstein Algebras and the CayleyBacharach Theorem
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On 0dimensional complete intersections
On 0dimensional complete intersections,10.1007/BF01444608,Mathematische Annalen,Martin Kreuzer
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On 0dimensional complete intersections
(
Citations: 12
)
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Martin Kreuzer
Journal:
Mathematische Annalen  MATH ANN
, vol. 292, no. 1, pp. 4358, 1992
DOI:
10.1007/BF01444608
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Citation Context
(5)
...characterization in terms of the so called Cayley–Bacharach property: it is the implication (a) ⇐⇒ (b) in the following proposition, and it was originally proven in [7] in the reduced case and then generalized to the non reduced case in [
26
]...
R. Hartshorne
,
et al.
Codimension 3 Arithmetically Gorenstein Subschemes of projective $N$s...
...In [
13
], Kreuzer obtained the following characterization of 0dimensional complete intersections in P3:...
...Theorem ([
13
] Theorem 1.3) A 0dimensional subscheme Y ⊂ P3 is a complete intersec...
...Remark 4.9 In view of Remark 3.9 and Remark 3.10, Corollaries 4.1, 4.7 and 4.8 are generalizations of Theorem 1.3 of [
13
]...
Martin Kreuzer
,
et al.
Determinantal schemes and Buchsbaum–Rim sheaves
...On the other hand, Kreuzer [25] has generalized the result of Griths and Harris ([17], Proposition 1.22), and has shown that X (reduced or not) has the CayleyBacharach property with respect to the linear system jKP3 deg Qj .( We would like to thank Mark De Cataldo for showing us the reference [17], Proposition 1.22.) Finally, by [
24
], Theorem 1.1 (which in turn is a generalization to the nonreduced case of [10], Theorem 5), these two ...
JUAN C. MIGLIORE
,
et al.
A CONSTRUCTION OF CODIMENSION THREE ARITHMETICALLY GORENSTEIN SUBSCHEM...
...This set of points has symmetric hvector but is not arithmetically Gorenstein.) The result of [7] was generalized in [
13
] to the nonreduced case...
JUAN C. MIGLIORE
.
GORENSTEIN LIAISON VIA DIVISORS
...Kreuzer [
41
]. (Ask him about it if you are interested!)...
JUAN MIGLIORE
.
EXPERIMENTS IN COMMUTATIVE ALGEBRA
References
(8)
Gorenstein Algebras and the CayleyBacharach Theorem
(
Citations: 53
)
E. D. Davis
,
A. V. Geramita
,
F. Orecchia
Journal:
Proceedings of The American Mathematical Society  PROC AMER MATH SOC
, vol. 93, no. 4, pp. 593593, 1985
Complete intersections in ℙ 2 : CayleyBacharach characterizations
(
Citations: 3
)
E. Davis
,
P. Maroscia
On graded rings, I
(
Citations: 140
)
Shiro GOTO
,
Keiichi WATANABE
Journal:
Journal of The Mathematical Society of Japan  J MATH SOC JPN
, vol. 30, no. 1978, pp. 179213, 1978
Stable reflexive sheaves
(
Citations: 154
)
Robin Hartshorne
Journal:
Mathematische Annalen  MATH ANN
, vol. 254, no. 2, pp. 121176, 1980
Vector Bundles on the Punctured Spectrum of a Local Ring
(
Citations: 94
)
G. Horrocks
Journal:
Proceedings of The London Mathematical Society  PROC LONDON MATH SOC
, vol. s314, no. 4, pp. 689713, 1964
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Citations
(12)
Codimension 3 Arithmetically Gorenstein Subschemes of projective $N$space
(
Citations: 1
)
R. Hartshorne
,
I. Sabadini
,
E. Schlesinger
Published in 2006.
Hilbert functions of irreducible arithmetically Gorenstein schemes
(
Citations: 3
)
Nero Budur
,
Marta Casanellas
,
Elisa Gorla
Journal:
Journal of Algebra  J ALGEBRA
, vol. 272, no. 1, pp. 292310, 2004
Liaison and Related Topics: Notes from the Torino Workshop/School
(
Citations: 3
)
J. Migliore
,
U. Nagel
Published in 2002.
The Projective Geometry of the Gale Transform
(
Citations: 25
)
David Eisenbud
,
Sorin Popescu
Journal:
Journal of Algebra  J ALGEBRA
, vol. 230, no. 1, pp. 127173, 2000
Determinantal schemes and Buchsbaum–Rim sheaves
(
Citations: 13
)
Martin Kreuzer
,
Juan C. Migliore
,
Chris Peterson
,
Uwe Nagel
Journal:
Journal of Pure and Applied Algebra  J PURE APPL ALG
, vol. 150, no. 2, pp. 155174, 2000