Constructing schemes with prescribed cohomology in arbitrary codimension

Juan Migliore; Uwe Nagel; Chris Peterson

doi:10.1016/S0022-4049(99)00136-X

Constructing schemes with prescribed cohomology in arbitrary codimension

Juan Migliore, Uwe Nagel, Chris Peterson

Mathematics

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

8 Scopus citations

Abstract

In this paper we show how to construct varieties of arbitrary dimension in Pⁿ with prescribed intermediate cohomology modules (up to shift). If the codimension is not too small then we use Kleiman's Bertini theorems to guarantee that the varieties are integral or even smooth.

Original language	English
Pages (from-to)	245-251
Number of pages	7
Journal	Journal of Pure and Applied Algebra
Volume	152
Issue number	1-3
DOIs	https://doi.org/10.1016/S0022-4049(99)00136-X
State	Published - Sep 15 2000

ASJC Scopus subject areas

Algebra and Number Theory

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title = "Constructing schemes with prescribed cohomology in arbitrary codimension",

abstract = "In this paper we show how to construct varieties of arbitrary dimension in Pn with prescribed intermediate cohomology modules (up to shift). If the codimension is not too small then we use Kleiman's Bertini theorems to guarantee that the varieties are integral or even smooth.",

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AU - Migliore, Juan

AU - Nagel, Uwe

AU - Peterson, Chris

PY - 2000/9/15

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N2 - In this paper we show how to construct varieties of arbitrary dimension in Pn with prescribed intermediate cohomology modules (up to shift). If the codimension is not too small then we use Kleiman's Bertini theorems to guarantee that the varieties are integral or even smooth.

AB - In this paper we show how to construct varieties of arbitrary dimension in Pn with prescribed intermediate cohomology modules (up to shift). If the codimension is not too small then we use Kleiman's Bertini theorems to guarantee that the varieties are integral or even smooth.

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EP - 251

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 1-3

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Constructing schemes with prescribed cohomology in arbitrary codimension

Abstract

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