Del Pezzo surfaces of degree 1 and Jacobians

Yu G. Zarhin

doi:10.1007/s00208-007-0157-4

Del Pezzo surfaces of degree 1 and Jacobians

Yu G. Zarhin

Mathematics

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

8 Scopus citations

Abstract

We construct absolutely simple jacobians of nonhyperelliptic genus 4 curves, using Del Pezzo surfaces of degree 1.

Original language	English (US)
Pages (from-to)	407-435
Number of pages	29
Journal	Mathematische Annalen
Volume	340
Issue number	2
DOIs	https://doi.org/10.1007/s00208-007-0157-4
State	Published - Feb 2008

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s00208-007-0157-4

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title = "Del Pezzo surfaces of degree 1 and Jacobians",

abstract = "We construct absolutely simple jacobians of nonhyperelliptic genus 4 curves, using Del Pezzo surfaces of degree 1.",

author = "Zarhin, {Yu G.}",

note = "Funding Information: Supported by SFB 701 “Spektrale Strukturen und topologische Methoden in der Mathematik” (Fakult{\"a}t f{\"u}r Mathematik der Universit{\"a}t Bielefeld).",

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doi = "10.1007/s00208-007-0157-4",

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AU - Zarhin, Yu G.

N1 - Funding Information: Supported by SFB 701 “Spektrale Strukturen und topologische Methoden in der Mathematik” (Fakultät für Mathematik der Universität Bielefeld).

PY - 2008/2

Y1 - 2008/2

N2 - We construct absolutely simple jacobians of nonhyperelliptic genus 4 curves, using Del Pezzo surfaces of degree 1.

AB - We construct absolutely simple jacobians of nonhyperelliptic genus 4 curves, using Del Pezzo surfaces of degree 1.

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U2 - 10.1007/s00208-007-0157-4

DO - 10.1007/s00208-007-0157-4

M3 - Article

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VL - 340

SP - 407

EP - 435

JO - Mathematische Annalen

JF - Mathematische Annalen

IS - 2

ER -

Del Pezzo surfaces of degree 1 and Jacobians

Abstract

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