WebAbsolute Hodge Cycles In Prismatic Cohomology A dissertation presented by Tian Nie to The Department of Mathematics in partial fulfillment of the requirements for the degree … WebA. Beilinson, Notes on absolute Hodge cohomology, in Applications of Algebraic K-theory to Algebraic Geometry and Number Theory, Contemp. Math. 55 (1986), vol. I, Birkhäuser, Boston, MA, pp. 35–68. CrossRef Google Scholar

Tropical Hodge conjecture for Abelian varieties-求真书院

http://www-personal.umich.edu/~bhattb/teaching/prismatic-columbia/ WebHodge loci and absolute Hodge classes Proposition 0.5. Supposethat the Hodge conjecture is truefor Hodge classes on smooth projective varieties defined over Q.Letα be a Hodge … truman and stalin

-adic Hodge theory - University of Chicago

WebAbsolute Hodge cohomology is presented as a Poincaré duality theory that generalizes Deligne-Beilinson cohomology in the sense that it includes the weight filtration. In this way it applies to general schemes over the complex numbers. ... Notes. For definitions and properties of (rigid) tensor categories, cf. [DMOS] or [Sa]. Google Scholar WebNote that by definition, absolute Hodge cohomology groups can be computed by the bicomplex (1.1). We also note that since the Hodge filtration on C q DR(Xan) starts with F0, we have (1.3) Hi AH(X,R(j)) = 0 for i > 2j. 4. 1.3 The conjecture. Beilinson formulates his conjectures in terms of the as- WebA fundamental question lying at the heart of algebraic geometry is: what are the relations between the geometry, topology and function theory of an algebraic variety? Specific questions of this form include the Hodge conjecture, giving a condition of mixed topological and analytic nature for the existence of algebraic subvarieties, and the Tate conjecture, … truman and the marshall plan