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Complex algebraic variety
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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 (818 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 (1,397 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 (355 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. BirkhäuserH topology (1,891 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 finiteReal algebraic geometry (3,217 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-manifoldModuli scheme (681 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 theCorrado Segre (972 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 withCole 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 workPasquale 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 withUwe 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 forHilbert–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:Ruth I. Michler (531 words) [view diff] case mismatch in snippet view article find links to article
Kristin; McEwan, Lee (2003). Proceedings of the Conference "Resolution of Singularities and Noncommutative Geometry" held in Luminy, July 20–22, 2001Graduate Studies in Mathematics (4,546 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 LecturesCarathéodory conjecture (2,323 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 authorsPuiseux series (5,542 words) [view diff] case mismatch in snippet view article find links to article
1007/BFb0079565. ISBN 978-3-540-07696-4. Cutkosky, Steven Dale (2004). Resolution of Singularities. Graduate Studies in Mathematics 63. American Mathematical SocietyMichael Atiyah (8,820 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