Results 21 to 30 of about 469 (86)
The integral Chow ring of $\mathcal {M}_{1,n}$ for $n=3,\dots ,10$
Forum of Mathematics, SigmaWe compute the integral Chow ring of the moduli stack of smooth elliptic curves with n marked points for $3\leq n\leq 10$ .
Martin Bishop
doaj +1 more source
Forum of Mathematics, SigmaWe compute the co-multiplication of the algebraic Morava K-theory for split orthogonal groups. This allows us to compute the decomposition of the Morava motives of generic maximal orthogonal Grassmannians and to compute a Morava K-theory analogue of the ...
Nikita Geldhauser +3 more
doaj +1 more source
Forum of Mathematics, SigmaWe prove that the cohomology rings of the moduli space $M_{d,\chi }$ of one-dimensional sheaves on the projective plane are not isomorphic for general different choices of the Euler characteristics.
Woonam Lim, Miguel Moreira, Weite Pi
doaj +1 more source
Yet another version of Mumford's theorem
, 2015 The aim of this note is to provide a variant statement of Mumford's theorem. This variant states that for a general variety, all Chow groups are "as large as possible", in the sense that they cannot be supported on a divisor.Comment: 7 pages.
Laterveer, Robert
core +1 more source
A remark on the Chow ring of some hyperk\"ahler fourfolds
, 2017 Let $X$ be a hyperk\"ahler variety. Voisin has conjectured that the classes of Lagrangian constant cycle subvarieties in the Chow ring of $X$ should lie in a subring injecting into cohomology.
Laterveer, Robert
core +1 more source
A remark on Beauville's splitting property
, 2017 Let $X$ be a hyperk\"ahler variety. Beauville has conjectured that a certain subring of the Chow ring of $X$ should inject into cohomology. This note proposes a similar conjecture for the ring of algebraic cycles on $X$ modulo algebraic equivalence: a ...
Laterveer, Robert
core +1 more source
Some Calabi-Yau fourfolds verifying Voisin's conjecture [PDF]
, 2017 Motivated by the Bloch-Beilinson conjectures, Voisin has made a conjecture concerning the behaviour of zero-cycles on self-products of Calabi-Yau varieties. This note contains some examples of Calabi-Yau fourfolds verifying Voisin's conjecture.Comment: 8
Laterveer, Robert
core +1 more source
Wall-crossing integral chow rings of ${\overline {\mathcal {M}}}_{1,n\leq 4}$
Forum of Mathematics, SigmaWe compute the integral Chow rings of $\overline {\mathcal {M}}_{1,n}$ for $n=3,4$ . The alternative compactifications introduced by Smyth – and studied further by Lekili and Polishchuk – present each of these stacks as a sequence of ...
Luca Battistella, Andrea Di Lorenzo
doaj +1 more source
Algebraic cycles on Severi-Brauer schemes of prime degree over a curve [PDF]
, 2007 Let $k$ be a perfect field and let $p$ be a prime number different from the characteristic of $k$. Let $C$ be a smooth, projective and geometrically integral $k$-curve and let $X$ be a Severi-Brauer $C$-scheme of relative dimension $p-1$ .
Gonzalez-Aviles, Cristian D.
core +2 more sources
Some cubics with finite-dimensional motive
, 2017 This small note presents in any dimension a family of cubics that have finite-dimensional motive (in the sense of Kimura). As an illustration, we verify a conjecture of Voevodsky for these cubics, and a conjecture of Murre for the Fano variety of lines ...
Laterveer, Robert
core +1 more source