About: Resolution of singularities

An Entity of Type: Thing, from Named Graph: http://dbpedia.org, within Data Space: dbpedia.org

Problem asking whether every algebraic variety V has a resolution

Property	Value
dbo:description	problem asking whether every algebraic variety V has a resolution (en)
dbo:thumbnail	wiki-commons:Special:FilePath/Functorial_Resolution_of_Singularities.svg?width=300
dbo:wikiPageExternalLink	http://www.numdam.org/item%3Fid=PMIHES_1965__24__5_0 https://hal.archives-ouvertes.fr/hal-00139445/file/IIfinalfinal.pdf https://books.google.com/books%3Fid=d6Zzhm9eCmgC http://www.singular.uni-kl.de/Manual/3-0-2/index.htm%23SEC_Top http://homepage.univie.ac.at/herwig.hauser/ http://www.uibk.ac.at/mathematik/archiv/ https://books.google.com/books%3Fid=rOlNQqTYF60C&pg=PP1 http://resolver.sub.uni-goettingen.de/purl%3FPPN243919689 https://hal.archives-ouvertes.fr/hal-00139124/file/resdimthree1.pdf http://www.mathematik.uni-kl.de/~anne/Aufl-Bilder/Hauptseite.html http://www.risc.uni-linz.ac.at/projects/basic/adjoints/blowup/index.html http://www.ms.u-tokyo.ac.jp/video/conference/2009gcoeopsym/index.html https://web.archive.org/web/20070204163127/http:/cdsagenda5.ictp.trieste.it/full_display.php%3Fsmr=0&ida=a05209 https://www.ams.org/bull/2003-40-03/S0273-0979-03-00982-0/home.html https://www.ams.org/jams/2005-18-04/S0894-0347-05-00493-5/home.html%7Ctitle=Simple https://www.ams.org/journals/bull/2011-48-01/S0273-0979-10-01301-7 http://www.numdam.org/item%3Fid=PMIHES_1996__83__51_0 https://arxiv.org/abs/math/0508332
dbo:wikiPageWikiLink	dbr:Pinch_point_(mathematics) dbr:Local_uniformization dbr:Codimension dbr:Algebraic_variety dbr:Eugenio_Bertini dbr:Whitney_umbrella dbr:Puiseux_series dbr:Proper_morphism dbr:Emmy_Noether dbr:Annals_of_Mathematics dbc:Singularity_theory dbc:Unsolved_problems_in_geometry dbr:Excellent_ring dbr:Exceptional_divisor dbc:Algebraic_geometry dbr:Normalization_of_an_algebraic_variety dbr:Atiyah_flop dbr:Giacomo_Albanese dbr:Bulletin_of_the_American_Mathematical_Society dbr:Algebraic_geometry dbr:Advances_in_Mathematics dbr:Zariski–Riemann_space dbr:Hilbert–Samuel_function dbr:Smooth_morphism dbr:Journal_of_Algebra dbr:Arithmetic_genus dbr:Ideal_sheaf dbr:Springer-Verlag dbr:Analytically_normal dbr:Excellent_scheme dbr:Exceptional_locus dbr:File:DoubleCone.png dbr:Birational dbr:Characteristic_0 dbr:Small_resolution dbr:Local_uniformization_theorem dbr:Non-singular_variety dbr:Quasi-excellent dbr:Riemann dbr:Toric_varieties dbr:File:Functorial_Resolution_of_Singularities.svg dbr:File:Whitney_unbrella.png
dbp:1a	Milman (en) Bierstone (en)
dbp:1y	1991 (xsd:integer)
dbp:2a	Milman (en) Bierstone (en)
dbp:2y	1997 (xsd:integer)
dbp:align	right (en)
dbp:first	V.I. (en)
dbp:id	R/r081580 (en)
dbp:last	Danilov (en) Cossart (en) Piltant (en)
dbp:quote	The lingering perception that the proof of resolution is very hard gradually diverged from reality. ... it is feasible to prove resolution in the last two weeks of a beginning algebraic geometry course. (en)
dbp:title	Resolution of singularities (en)
dbp:width	30.0 (dbd:perCent)
dbp:wikiPageUsesTemplate	dbt:Cite_book dbt:Main dbt:Reflist dbt:Cite_journal dbt:Sfn dbt:Citation dbt:About dbt:Quote_box dbt:Sfnm dbt:Harv dbt:Harvs dbt:Harvtxt dbt:Sfnref dbt:Springer dbt:Short_description
dbp:year	2008 (xsd:integer) 2009 (xsd:integer)
dct:subject	dbc:Singularity_theory dbc:Unsolved_problems_in_geometry dbc:Algebraic_geometry
gold:hypernym	dbr:Problem
rdfs:label	Resolution of singularities (en) 特異点解消 (ja) 奇點解消 (zh)
owl:sameAs	freebase:Resolution of singularities yago-res:Resolution of singularities wikidata:Resolution of singularities dbpedia-zh:Resolution of singularities dbpedia-ja:Resolution of singularities dbpedia-fa:Resolution of singularities dbpedia-global:Resolution of singularities
prov:wasDerivedFrom	wikipedia-en:Resolution_of_singularities?oldid=1280689390&ns=0
foaf:depiction	wiki-commons:Special:FilePath/DoubleCone.png wiki-commons:Special:FilePath/Whitney_unbrella.png wiki-commons:Special:FilePath/Functorial_Resolution_of_Singularities.svg
foaf:isPrimaryTopicOf	wikipedia-en:Resolution_of_singularities
is dbo:knownFor of	dbr:Beppo_Levi dbr:Aise_Johan_de_Jong
is dbo:wikiPageDisambiguates of	dbr:Resolution
is dbo:wikiPageRedirects of	dbr:Desingularisation dbr:Desingularization dbr:Hironaka's_resolution_of_singularities dbr:Hironaka's_theorem dbr:Hironaka_theorem dbr:Reduction_of_singularities
is dbo:wikiPageWikiLink of	dbr:Pinch_point_(mathematics) dbr:Local_uniformization dbr:Nash_blowing-up dbr:Semblance_analysis dbr:K3_surface dbr:Morphism_of_algebraic_varieties dbr:Rational_mapping dbr:Hodge_structure dbr:Singularity_theory dbr:Supersingular_K3_surface dbr:Masaki_Kashiwara dbr:Group_theory dbr:Pierre_Deligne dbr:Shreeram_Shankar_Abhyankar dbr:Blowing_up dbr:Glossary_of_algebraic_geometry dbr:Normal_scheme dbr:Integral_element dbr:Beppo_Levi dbr:Excellent_ring dbr:Eguchi–Hanson_space dbr:Max_Noether dbr:Toric_variety dbr:Birational_geometry dbr:Intersection_homology dbr:List_of_unsolved_problems_in_mathematics dbr:Bott–Samelson_resolution dbr:Singular_point_of_an_algebraic_variety dbr:Algebraic_geometry dbr:Heisuke_Hironaka dbr:Springer_resolution dbr:Zariski–Riemann_space dbr:List_of_long_mathematical_proofs dbr:Crepant_resolution dbr:List_of_algebraic_geometry_topics dbr:Nisnevich_topology dbr:Fields_Medal dbr:Aise_Johan_de_Jong dbr:Canonical_singularity dbr:Smooth_completion dbr:Resolution dbr:Normally_flat_ring dbr:Determinantal_variety dbr:Igusa_zeta_function dbr:Multiplicity_theory dbr:Relative_canonical_model dbr:Dan_Abramovich dbr:Desingularisation dbr:Desingularization dbr:Hironaka's_resolution_of_singularities dbr:Hironaka's_theorem dbr:Hironaka_theorem dbr:Reduction_of_singularities
is foaf:primaryTopic of	wikipedia-en:Resolution_of_singularities