A finiteness theorem for low-codimensional nonsingular subvarieties of quadrics

Mark Andrea A. De Cataldo

doi:10.1090/s0002-9947-97-01736-4

A finiteness theorem for low-codimensional nonsingular subvarieties of quadrics

Mark Andrea A. De Cataldo

Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We prove that there are only finitely many families of codimension two nonsingular subvarieties of quadrics Q" which are not of general type, for n = 5 and n 7. We prove a similar statement also for the case of higher codimension.

Original language	English
Pages (from-to)	2359-2370
Number of pages	12
Journal	Transactions of the American Mathematical Society
Volume	349
Issue number	6
DOIs	https://doi.org/10.1090/s0002-9947-97-01736-4
State	Published - 1997

Keywords

Codimension two
Grassmannians
Lifting
Low codimension
Not of general type
Polynomial bound
Quadrics

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10.1090/s0002-9947-97-01736-4

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title = "A finiteness theorem for low-codimensional nonsingular subvarieties of quadrics",

abstract = "We prove that there are only finitely many families of codimension two nonsingular subvarieties of quadrics Q{"} which are not of general type, for n = 5 and n 7. We prove a similar statement also for the case of higher codimension.",

keywords = "Codimension two, Grassmannians, Lifting, Low codimension, Not of general type, Polynomial bound, Quadrics",

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year = "1997",

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T1 - A finiteness theorem for low-codimensional nonsingular subvarieties of quadrics

AU - De Cataldo, Mark Andrea A.

PY - 1997

Y1 - 1997

N2 - We prove that there are only finitely many families of codimension two nonsingular subvarieties of quadrics Q" which are not of general type, for n = 5 and n 7. We prove a similar statement also for the case of higher codimension.

AB - We prove that there are only finitely many families of codimension two nonsingular subvarieties of quadrics Q" which are not of general type, for n = 5 and n 7. We prove a similar statement also for the case of higher codimension.

KW - Codimension two

KW - Grassmannians

KW - Lifting

KW - Low codimension

KW - Not of general type

KW - Polynomial bound

KW - Quadrics

UR - https://www.scopus.com/pages/publications/21744446362

U2 - 10.1090/s0002-9947-97-01736-4

DO - 10.1090/s0002-9947-97-01736-4

M3 - Article

AN - SCOPUS:21744446362

SN - 0002-9947

VL - 349

SP - 2359

EP - 2370

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 6

ER -

A finiteness theorem for low-codimensional nonsingular subvarieties of quadrics

Abstract

Keywords

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