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Classification of singular fibers on rational elliptic surfaces in characteristic three

Classification of singular fibers on rational elliptic surfaces in characteristic three
Classification of singular fibers on rational elliptic surfaces in characteristic three
We list all possible configurations of singular fibers on rational elliptic surfaces in characteristic three and prove that no others exist. In total, we find 267 distinct configurations. Configurations of purely multiplicative fibers in characteristic three are compared to those in characteristics zero and two.
0092-7872
4533-4566
Jarvis, Tyler
cf9e0bcf-eb25-441e-a0f2-082b976cc1e1
Lang, William E.
0cf0b219-a353-42eb-ac34-66566c05f45a
Rimmasch, Gretchen
d31b93be-6462-47d8-ab4c-c1220a881b15
Rogers, Julie
d1e3bf88-b440-49ce-a48d-9ec52f578234
Summers, Erin D.
b1eaca44-896e-4c7a-bf02-d7d221157f46
Petrosyan, Nansen
f169cfd6-aeee-4ad2-b147-0bf77dd1f9b6
Jarvis, Tyler
cf9e0bcf-eb25-441e-a0f2-082b976cc1e1
Lang, William E.
0cf0b219-a353-42eb-ac34-66566c05f45a
Rimmasch, Gretchen
d31b93be-6462-47d8-ab4c-c1220a881b15
Rogers, Julie
d1e3bf88-b440-49ce-a48d-9ec52f578234
Summers, Erin D.
b1eaca44-896e-4c7a-bf02-d7d221157f46
Petrosyan, Nansen
f169cfd6-aeee-4ad2-b147-0bf77dd1f9b6

Jarvis, Tyler, Lang, William E., Rimmasch, Gretchen, Rogers, Julie, Summers, Erin D. and Petrosyan, Nansen (2005) Classification of singular fibers on rational elliptic surfaces in characteristic three. Communications in Algebra, 33 (12), 4533-4566. (doi:10.1080/00927870500274861).

Record type: Article

Abstract

We list all possible configurations of singular fibers on rational elliptic surfaces in characteristic three and prove that no others exist. In total, we find 267 distinct configurations. Configurations of purely multiplicative fibers in characteristic three are compared to those in characteristics zero and two.

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Published date: 2005
Organisations: Pure Mathematics

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Local EPrints ID: 356899
URI: http://eprints.soton.ac.uk/id/eprint/356899
DOI: doi:10.1080/00927870500274861
ISSN: 0092-7872
PURE UUID: ad939401-5277-4a2c-b6ae-cd849c5abbe6
ORCID for Nansen Petrosyan: ORCID iD orcid.org/0000-0002-2768-5279

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Date deposited: 24 Oct 2013 13:54
Last modified: 15 Mar 2024 03:49

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Contributors

Author: Tyler Jarvis
Author: William E. Lang
Author: Gretchen Rimmasch
Author: Julie Rogers
Author: Erin D. Summers
Author: Nansen Petrosyan ORCID iD

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