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There is a page named "Standard conjectures on algebraic cycles" on Wikipedia
- mathematics, the standard conjectures about algebraic cycles are several conjectures describing the relationship of algebraic cycles and Weil cohomology...11 KB (1,359 words) - 06:15, 3 April 2022
- Grothendieck's standard conjectures on algebraic cycles yield enough cycles to construct his category of motives and would imply that algebraic cycles play a...9 KB (1,472 words) - 14:41, 4 January 2022
- analogue of the Weil conjectures for Kähler manifolds, Grothendieck envisioned a proof based on his standard conjectures on algebraic cycles (Kleiman 1968)...43 KB (6,101 words) - 17:10, 30 December 2023
number theory and algebraic geometry, the Tate conjecture is a 1963 conjecture of John Tate that would describe the algebraic cycles on a variety in terms...10 KB (1,191 words) - 10:32, 19 June 2023
Pierre Deligne (redirect from Deligne conjecture)of algebraic curves Motive (algebraic geometry) Perverse sheaf Riemann–Hilbert correspondence Serre's modularity conjecture Standard conjectures on algebraic...19 KB (1,932 words) - 16:47, 12 June 2024- This is a list of notable mathematical conjectures. The following conjectures remain open. The (incomplete) column "cites" lists the number of results...36 KB (1,566 words) - 06:04, 20 July 2024
- List of unsolved problems in mathematics (category Conjectures){\displaystyle k} . Standard conjectures on algebraic cycles Tate conjecture on the connection between algebraic cycles on algebraic varieties and Galois...189 KB (19,472 words) - 06:33, 15 July 2024
- the triangulated category. The standard conjectures were first formulated in terms of the interplay of algebraic cycles and Weil cohomology theories. The...33 KB (4,920 words) - 14:54, 23 June 2024
Alexander Grothendieck (category Algebraic geometers)(mathematics) Section conjecture Semistable abelian variety Sheaf cohomology Stack (mathematics) Standard conjectures on algebraic cycles Sketch of a program...77 KB (8,255 words) - 07:11, 29 June 2024
connections to Alexander Grothendieck's standard conjectures on algebraic cycles. Macintyre has proved many results on the model theory of real and complex...9 KB (889 words) - 17:22, 30 January 2024- T-structure (category Homological algebra)closely related to certain standard conjectures on algebraic cycles and vanishing conjectures, such as the Beilinson-Soulé conjecture. In the above example...32 KB (6,305 words) - 09:49, 7 February 2024
- In algebraic geometry, a branch of mathematics, an adequate equivalence relation is an equivalence relation on algebraic cycles of smooth projective varieties...7 KB (577 words) - 10:22, 12 February 2024
exception consists of three conjectures made by André Weil in the late 1940s (the Weil conjectures). In the fields of algebraic geometry, number theory and...40 KB (3,688 words) - 06:20, 18 June 2024- has become an important tool in algebraic geometry, particularly through its connection to the study of algebraic cycles. While Hodge theory is intrinsically...28 KB (4,296 words) - 10:56, 1 June 2024
- Glossary of arithmetic and diophantine geometry (redirect from Lang conjecture on analytically hyperbolic varieties)encompass large parts of number theory and algebraic geometry. Much of the theory is in the form of proposed conjectures, which can be related at various levels...37 KB (4,736 words) - 05:03, 26 May 2024
- Motivic cohomology (category Topological methods of algebraic geometry)of algebraic varieties and of more general schemes. It is a type of cohomology related to motives and includes the Chow ring of algebraic cycles as a...16 KB (2,285 words) - 19:58, 29 December 2023
- Categories of abstract algebraic structures including representation theory and universal algebra; Homological algebra; Homotopical algebra; Topology using categories...87 KB (273 words) - 01:34, 14 June 2024
- Chow group (redirect from Cycle class map)to any other adequate equivalence relation on algebraic cycles. Some of the deepest conjectures in algebraic geometry and number theory are attempts to...26 KB (4,195 words) - 23:25, 28 November 2023
- Mathematics (section Algebra)(not only algebraic ones). At its origin, it was introduced, together with homological algebra for allowing the algebraic study of non-algebraic objects...162 KB (15,957 words) - 12:44, 17 July 2024
Prime number (section Abstract algebra)an important tool and object of study in commutative algebra, algebraic number theory and algebraic geometry. The prime ideals of the ring of integers are...116 KB (14,095 words) - 16:00, 23 June 2024
- Asia, employ cycles of sixty, by means of which they reckon their days, moons, and years. The days are distributed in the calendar into cycles of sixty,
- arithmetical part of the [Rhind] papyrus indicates that he had some idea of algebraic symbols. The unknown quantity is always represented by the symbol which
- are useful in geometry and certain parts of topology, e.g. Knot Theory. Algebraic graph theory has close links with group theory. A graph structure can