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X be a complex algebraic variety. Then there is a projective resolution of singularities X ′ → X {\displaystyle X'\to X} . Despite Chow's theorem, notJános Kollár (805 words) [view diff] exact match in snippet view article find links to article
Abramovich, Dan. "Review: Resolution of singularities by Steven Dale Cutkovsky and Lectures on resolution of singularities by János Kollár" (PDF). BullOscar Zariski (1,391 words) [view diff] exact match in snippet view article find links to article
Collected papers. Vol. I: Foundations of algebraic geometry and resolution of singularities, Cambridge, Massachusetts-London: MIT Press, ISBN 978-0-262-08049-1Joseph Lipman (347 words) [view diff] exact match in snippet view article find links to article
2000. Editor with Herwig Hauser, Frans Oort, Adolfo Quirós: Resolution of singularities. A research textbook in tribute to Oscar Zariski. BirkhäuserModuli scheme (678 words) [view diff] case mismatch in snippet view article find links to article
Frans; Quirós, Adolfo (2012-12-06). "10.4 Coarse moduli schemes". Resolution of Singularities: A research textbook in tribute to Oscar Zariski Based on theReal algebraic geometry (3,213 words) [view diff] exact match in snippet view article find links to article
rational threefold 1997 Bierstone and Milman proved a canonical resolution of singularities theorem 1997 Mikhalkin proved that every closed smooth n-manifoldH topology (1,860 words) [view diff] exact match in snippet view article find links to article
Noetherian induction, if k {\displaystyle k} is a field admitting resolution of singularities (e.g., a characteristic zero field) then any scheme of finiteCole Prize (226 words) [view diff] exact match in snippet view article find links to article
cohomology Aise Johan de Jong for his important work on the resolution of singularities by generically finite maps 2003 Hiraku Nakajima for his workCorrado Segre (973 words) [view diff] exact match in snippet view article find links to article
1090/S0002-9904-1927-04373-7, JFM 53.0034.09, MR 1561376. Gario, Paola (1989). "Resolution of singularities of surfaces by P. Del Pezzo. A mathematical controversy withPasquale del Pezzo (237 words) [view diff] exact match in snippet view article find links to article
Sciences. 67 (2): 171–214. ISSN 0003-9519. Gario, Paola (1989), "Resolution of singularities of surfaces by P. del Pezzo. A mathematical controversy withHilbert–Samuel function (925 words) [view diff] case mismatch in snippet view article find links to article
{\displaystyle {\mathcal {O}}_{X,x}} . j-multiplicity H. Hironaka, Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero:Carathéodory conjecture (2,117 words) [view diff] exact match in snippet view article find links to article
than one. Roughly speaking, the main difficulty lies in the resolution of singularities generated by umbilical points. All the above-mentioned authorsUwe Jannsen (497 words) [view diff] exact match in snippet view article find links to article
geometry, the Hasse principle (local–global principle), and resolution of singularities. In particular, he has done research on a cohomology theory forGraduate Studies in Mathematics (4,466 words) [view diff] case mismatch in snippet view article find links to article
in Analysis, T. W. Körner (2004, ISBN 978-0-8218-3447-3) 63 Resolution of Singularities, Steven Dale Cutkosky (2004, ISBN 978-0-8218-3555-5) 64 LecturesPuiseux series (5,530 words) [view diff] case mismatch in snippet view article find links to article
ISBN 978-3-540-07696-4.[dead link] Cutkosky, Steven Dale (2004). Resolution of Singularities. Graduate Studies in Mathematics 63. American Mathematical SocietyMichael Atiyah (8,725 words) [view diff] exact match in snippet view article find links to article
analytic functions define distributions. Atiyah used Hironaka's resolution of singularities to answer this affirmatively. An ingenious and elementary solution