# On some properties of partial intersection schemes.

Alfio Ragusa; Giuseppe Zappalà

Collectanea Mathematica (2003)

- Volume: 54, Issue: 3, page 255-267
- ISSN: 0010-0757

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topRagusa, Alfio, and Zappalà, Giuseppe. "On some properties of partial intersection schemes.." Collectanea Mathematica 54.3 (2003): 255-267. <http://eudml.org/doc/43100>.

@article{Ragusa2003,

abstract = {Partial intersection subschemes of Pr of codimension c were used to furnish various graded Betti numbers which agree with a fixed Hilbert function. Here we study some further properties of such schemes; in particular, we show that they are not in general licci and we give a large class of them which are licci. Moreover, we show that all partial intersections are glicci. We also show that for partial intersections the first and the last Betti numbers, say m and p respectively, give bounds each other; in particular, in codimension 3 case we see that [(p+5)/2] ≤ m ≤ 2p+1 and each m and p satisfying the above inequality can be realized.},

author = {Ragusa, Alfio, Zappalà, Giuseppe},

journal = {Collectanea Mathematica},

keywords = {Intersección; Esquemas; Función de Hilbert; Ligaduras Gorenstein; Hilbert function; Betti numbers; liaison; arithmetically Cohen-Macaulay scheme; partial intersection schemes},

language = {eng},

number = {3},

pages = {255-267},

title = {On some properties of partial intersection schemes.},

url = {http://eudml.org/doc/43100},

volume = {54},

year = {2003},

}

TY - JOUR

AU - Ragusa, Alfio

AU - Zappalà, Giuseppe

TI - On some properties of partial intersection schemes.

JO - Collectanea Mathematica

PY - 2003

VL - 54

IS - 3

SP - 255

EP - 267

AB - Partial intersection subschemes of Pr of codimension c were used to furnish various graded Betti numbers which agree with a fixed Hilbert function. Here we study some further properties of such schemes; in particular, we show that they are not in general licci and we give a large class of them which are licci. Moreover, we show that all partial intersections are glicci. We also show that for partial intersections the first and the last Betti numbers, say m and p respectively, give bounds each other; in particular, in codimension 3 case we see that [(p+5)/2] ≤ m ≤ 2p+1 and each m and p satisfying the above inequality can be realized.

LA - eng

KW - Intersección; Esquemas; Función de Hilbert; Ligaduras Gorenstein; Hilbert function; Betti numbers; liaison; arithmetically Cohen-Macaulay scheme; partial intersection schemes

UR - http://eudml.org/doc/43100

ER -

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