variety correspond to the maximal ideals that contain this prime ideal. The Zariski topology, originally defined on an algebraic variety, has been extended...

cohomology is the fact that a Zariski open cover π : U → X {\displaystyle \pi :U\to X} does not yield a resolution of Zariski sheaves ⋯ → Z t r ( U × X U...

ending up with a compact manifold (for the strong topology, rather than the Zariski topology, that is). At about the same time as Hironaka's work, the catastrophe...

Witt vectors over the base field, that replaces Zariski open sets by infinitesimal thickenings of Zariski open sets with divided power structuresPages displaying...

at the Universidade de São Paulo from 1945 to 1947, working with Oscar Zariski. Weil and his wife had two daughters, Sylvie (born in 1942) and Nicolette...

open affine subvariety of Mn(R) (a non-empty open subset of Mn(R) in the Zariski topology), and therefore a smooth manifold of the same dimension. The Lie...

{\displaystyle V} are those where the "test to be a manifold" fails. See Zariski tangent space. Once the tangent spaces of a manifold have been introduced...

× n {\displaystyle n\times n} matrices under simultaneous conjugation. Zariski–Lipman conjecture: for a complex algebraic variety V {\displaystyle V}...

the Hilbert scheme under the supervision of John Coleman Moore and Oscar Zariski. He then became a Junior Fellow at Harvard University, where he taught...

of the Minnesota House of Representatives (1935–1940), pneumonia. Oscar Zariski, 87, Russian-born American mathematician. Thomas Arnold, 85, British Olympic...

concept of local property that refers to localization to Zariski open sets; see § Localization to Zariski open sets, below.) Many local properties are a consequence...

is analogous to the construction of the cotangent space to define the Zariski tangent space in algebraic geometry. The construction also generalizes...

Suresh 1963—Norbert Wiener 1964—Solomon Lefschetz, Marston Morse 1965—Oscar Zariski 1966—John Milnor 1967—Paul Cohen 1968—Jerzy Neyman 1969—William Feller...

spectrum of a ring Spec(R), the space of prime ideals of R equipped with the Zariski topology, that the Krull dimension of R is equal to the dimension of its...

theory) Pierre Samuel, La théorie des correspondances birationnelles selon Zariski (birational geometry) Jean Braconnier, Sur les suites de composition d'un...

be used in number theory. The spectrum of any commutative ring with the Zariski topology (that is, the set of all prime ideals) is compact, but never Hausdorff...

Pavel Sukhoi Branislau Tarashkevich Immanuel Velikovsky Lev Vygotsky Oscar Zariski Veronika Cherkasova Ihar Hermianchuk Pavel Sheremet Andrei Aramnau Andrei...

algebraic group G, such that there is an orbit of G that is open for the Zariski topology (and so, dense). An example is GL(1) acting on a one-dimensional...

James A. Yorke Noriko Yui Norman Zabusky Lotfi A. Zadeh George Zames Oscar Zariski Eduard Zehnder Andrei Zelevinsky Efim Zelmanov Robert Zimmer Yaakov Ziv...

d in N variables satisfying dk < N the Zariski closed set V(f) of Pn(K) contains a subvariety which is Zariski closed over K. A field that is weakly Ck...

structures or by using other sheaves than Nisnevich sheaves (for example, Zariski sheaves or just all presheaves). Each of these constructions yields the...

1986 – Flor Peeters, Belgian organist and composer (b. 1903) 1986 – Oscar Zariski, Belarusian-American mathematician and academic (b. 1899) 1988 – Adrian...

of life insurance" for his pioneering work on actuarial tables. Oscar Zariski (1899–1986): American mathematician and one of the most influential algebraic...

make sense, since an isolated intersection point has neighborhoods (for Zariski topology or for the usual topology in the case of complex hypersurfaces)...

Boris Weisfeiler, mathematician Victor Zalgaller, mathematician Oscar Zariski, mathematician Efim Zelmanov, mathematician, Fields Medal (1994) Urie Bronfenbrenner...

is a Krull domain (Mori–Nagata theorem). Let A {\displaystyle A} be a Zariski ring (e.g., a local noetherian ring). If the completion A ^ {\displaystyle...

Negative Curvature, under the direction of George David Birkhoff. Morse was a Benjamin Peirce Instructor at Harvard in 1919–1920, after which he served as an...

microbiologist and physician Robert W. Wood – experimental physicist Oscar Zariski – Russian-born American mathematician Elias Zerhouni – Director of the...

Ohlin, Swedish economist, Nobel Prize laureate (d. 1979) April 24 – Oscar Zariski, Russian mathematician (d. 1986) April 27 – Walter Lantz, American animator...

Whittaker Sven Dag Wicksell Dorothy Wrinch William Henry Young Oscar Zariski Panagiotis Zervos [el] Ziauddin Ahmad Rihard Zupančič [sl] Antoni Zygmund...