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searching for Foundations of Algebraic Geometry 34 found (42 total)

alternate case: foundations of Algebraic Geometry

Éléments de géométrie algébrique (1,149 words) [view diff] case mismatch in snippet view article find links to article

Scientifiques. In it, Grothendieck established systematic foundations of algebraic geometry, building upon the concept of schemes, which he defined. The

Generic point (699 words) [view diff] exact match in snippet view article find links to article

the foundational approach of André Weil, developed in his Foundations of Algebraic Geometry, generic points played an important role, but were handled

Projection formula (151 words) [view diff] case mismatch in snippet view article find links to article

ISBN 978-0-387-90244-9, MR 0463157, Ch. III, Exercise 8.3}} Vakil, Ravi (2007–2008), Foundations of algebraic geometry class 38 (PDF), Stanford University v t e

Dualizing sheaf (1,018 words) [view diff] case mismatch in snippet view article find links to article

MR 0463157 Vakil, Ravi. "FOUNDATIONS OF ALGEBRAIC GEOMETRY CLASSES 53 AND 54" (PDF). Math 216: Foundations of algebraic geometry 2005-06. Relative dualizing

Hilbert's fifteenth problem (967 words) [view diff] case mismatch in snippet view article find links to article

1007/BF01782350. MR 1512581. S2CID 177808901. Weil, A. (1962), Foundations of algebraic geometry, Student Mathematical Library, vol. 32, American Mathematical

Claude Chevalley (1,242 words) [view diff] case mismatch in snippet view article find links to article

1957-8. These dealt with topics on algebraic groups and the foundations of algebraic geometry, as well as pure abstract algebra. The Cartan–Chevalley seminar

Ramification (mathematics) (1,116 words) [view diff] case mismatch in snippet view article

Zbl 0956.11021. Vakil, Ravi (18 November 2017). The Rising Sea: Foundations of algebraic geometry (PDF). Retrieved 5 June 2019. "Splitting and ramification

Enumerative geometry (1,137 words) [view diff] exact match in snippet view article find links to article

abzählenden Geometrie (published 1979). Weil, Andre (1947). Foundations of Algebraic Geometry. American Mathematical Society. ISBN 9780821874622. {{cite

Gluing schemes (787 words) [view diff] case mismatch in snippet view article find links to article

ISBN 978-0-387-90244-9, MR 0463157 Vakil, Ravi (November 18, 2017). "Math 216: Foundations of algebraic geometry". Stacks Project, 26.14 Glueing schemes

Oscar Zariski (1,409 words) [view diff] case mismatch in snippet view article find links to article

postscript (link) Zariski, Oscar (1972), Collected papers. Vol. I: Foundations of algebraic geometry and resolution of singularities, Cambridge, Massachusetts-London:

Arithmetic geometry (1,464 words) [view diff] case mismatch in snippet view article find links to article

abelian variety is a finitely generated abelian group. Modern foundations of algebraic geometry were developed based on contemporary commutative algebra,

Intersection theory (2,216 words) [view diff] exact match in snippet view article find links to article

multiplicity was the major concern of André Weil's 1946 book Foundations of Algebraic Geometry. Work in the 1920s of B. L. van der Waerden had already addressed

History of topos theory (1,642 words) [view diff] case mismatch in snippet view article find links to article

[citation needed] During the latter part of the 1950s, the foundations of algebraic geometry were being rewritten; and it is here that the origins of the

Morphism of schemes (5,034 words) [view diff] case mismatch in snippet view article find links to article

due to Grothendieck) has had a significant impact on the foundations of algebraic geometry. For example, working with a category-valued (pseudo-)functor

Algebraic geometry and analytic geometry (2,782 words) [view diff] case mismatch in snippet view article find links to article

part of the 1950s, as part of the business of laying the foundations of algebraic geometry to include, for example, techniques from Hodge theory. The

List of long mathematical proofs (1,557 words) [view diff] case mismatch in snippet view article find links to article

Séminaire de géométrie algébrique. Grothendieck's work on the foundations of algebraic geometry covers many thousands of pages. Although this is not a proof

List of publications in mathematics (10,413 words) [view diff] case mismatch in snippet view article find links to article

part of the 1950s, as part of the business of laying the foundations of algebraic geometry to include, for example, techniques from Hodge theory. (NB

Gluing axiom (1,843 words) [view diff] case mismatch in snippet view article find links to article

example, is a special case. Gluing schemes Vakil, Math 216: Foundations of algebraic geometry, 2.7. Grothendieck, Alexandre; Dieudonné, Jean (1960). "Éléments

Surface (mathematics) (3,964 words) [view diff] exact match in snippet view article

"surface defined by an implicit equation". Weil, André (1946), Foundations of Algebraic Geometry, American Mathematical Society Colloquium Publications, vol

Abelian variety (3,158 words) [view diff] case mismatch in snippet view article find links to article

introduce the notion of an abstract variety and to rewrite the foundations of algebraic geometry to work with varieties without projective embeddings (see

Proj construction (3,582 words) [view diff] exact match in snippet view article find links to article

of projective spaces Projectivization Ravi Vakil (2015). Foundations of Algebraic Geometry (PDF)., Corollary 15.4.3. EGA, II.5.5. EGA, II.5.5.1. Grothendieck

Spectrum of a ring (4,089 words) [view diff] case mismatch in snippet view article find links to article

1080/00927872.2018.1469637. S2CID 119574163. Vakil, Ravi (n.d.). "Foundations Of Algebraic Geometry". math.stanford.edu.{{cite web}}: CS1 maint: year (link)

Analytic geometry (5,612 words) [view diff] case mismatch in snippet view article find links to article

Descartes. Omar Khayyam is credited with identifying the foundations of algebraic geometry, and his book Treatise on Demonstrations of Problems of Algebra

Hilbert series and Hilbert polynomial (3,885 words) [view diff] exact match in snippet view article find links to article

regularity Hilbert scheme Quot scheme Ravi Vakil (2015). Foundations of Algebraic Geometry (PDF)., Theorem 18.6.1 Harris, Joe (1992). Algebraic Geometry

Morphism of algebraic varieties (4,397 words) [view diff] case mismatch in snippet view article find links to article

Shafarevich 2013, p. 25, Def.. Hartshorne 1997, Ch. I, § 3.. Vakil, Foundations of algebraic geometry, Proposition 6.5.7. Hartshorne 1997, Ch. I, Theorem 4.4..

Algebraic geometry (7,508 words) [view diff] exact match in snippet view article find links to article

Wikiquote has quotations related to Algebraic geometry. Foundations of Algebraic Geometry by Ravi Vakil, 808 pp. Algebraic geometry entry on PlanetMath

Coherent sheaf cohomology (4,664 words) [view diff] case mismatch in snippet view article find links to article

stacks.math.columbia.edu. Retrieved 2020-02-23. Vakil. "FOUNDATIONS OF ALGEBRAIC GEOMETRY CLASSES 35 AND 36" (PDF). Stacks Project, Tag 02O3. (Grothendieck

Scheme (mathematics) (7,139 words) [view diff] exact match in snippet view article

point is true for "most" points of the variety. In Weil's Foundations of Algebraic Geometry (1946), generic points are constructed by taking points in

Sheaf of modules (3,458 words) [view diff] case mismatch in snippet view article find links to article

holomorphic vector bundle generic freeness Vakil, Math 216: Foundations of algebraic geometry, 2.5. Hartshorne, Ch. III, Proposition 2.2. This cohomology

Alexander Grothendieck (8,633 words) [view diff] case mismatch in snippet view article find links to article

went on to plan and execute a programme for rebuilding the foundations of algebraic geometry, which at the time were in a state of flux and under discussion

Base change theorems (4,151 words) [view diff] exact match in snippet view article find links to article

doi:10.4171/RSMUP/135-13, S2CID 118024164 Vakil, Ravi (2015), Foundations of Algebraic Geometry (PDF) Brian Conrad's handout Trouble with semicontinuity

Projective variety (7,499 words) [view diff] case mismatch in snippet view article find links to article

(2nd ed.). Springer-Verlag. ISBN 978-0-387-54812-8. R. Vakil, Foundations Of Algebraic Geometry The Hilbert Scheme by Charles Siegel - a blog post Projective

Space (mathematics) (9,328 words) [view diff] case mismatch in snippet view article

or even finite. In pursuit of this idea, Weil rewrote the foundations of algebraic geometry, both freeing algebraic geometry from its reliance on complex

Glossary of algebraic geometry (12,496 words) [view diff] case mismatch in snippet view article find links to article

§1.6 Brandenburg, Martin (2014-10-07). "Tensor categorical foundations of algebraic geometry". arXiv:1410.1716 [math.AG]. Hartshorne 1977, Exercise II