Explicit Deligne pairing

Paolo Dolce

doi:10.1007/s40879-021-00482-9

Explicit Deligne pairing

Paolo Dolce

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

1 Scopus citations

Abstract

We give an explicit formula for the Deligne pairing for proper and flat morphisms f: X→ S of schemes, in terms of the determinant of cohomology. The whole construction is justified by an analogy with the intersection theory on non-singular projective algebraic varieties.

Original language	English
Pages (from-to)	101-129
Number of pages	29
Journal	European Journal of Mathematics
Volume	8
DOIs	https://doi.org/10.1007/s40879-021-00482-9
State	Published - 1 Jul 2022
Externally published	Yes

Keywords

Deligne pairing
Intersection theory

ASJC Scopus subject areas

General Mathematics

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10.1007/s40879-021-00482-9

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title = "Explicit Deligne pairing",

abstract = "We give an explicit formula for the Deligne pairing for proper and flat morphisms f: X→ S of schemes, in terms of the determinant of cohomology. The whole construction is justified by an analogy with the intersection theory on non-singular projective algebraic varieties.",

keywords = "Deligne pairing, Intersection theory",

author = "Paolo Dolce",

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AB - We give an explicit formula for the Deligne pairing for proper and flat morphisms f: X→ S of schemes, in terms of the determinant of cohomology. The whole construction is justified by an analogy with the intersection theory on non-singular projective algebraic varieties.

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KW - Intersection theory

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JO - European Journal of Mathematics

JF - European Journal of Mathematics

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Explicit Deligne pairing

Abstract

Keywords

ASJC Scopus subject areas

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