# Search results for: Robert Laterveer

ANNALI DELL'UNIVERSITA' DI FERRARA > 2019 > 65 > 1 > 127-137

*S*should behave when pulled-back to the self-product $$S^m$$ S m for $$m>p_g(S)$$ m > p g ( S ) . We show that Voisin’s conjecture is true for a 3-dimensional family of surfaces of general type with $$p_g=q=2$$ p g = q = 2 and $$K^2=7$$ K 2 = 7 constructed by Cancian and Frapporti, and revisited...

Rendiconti del Circolo Matematico di Palermo Series 00002 > 2019 > 68 > 2 > 419-431

*S*should behave when pulled-back to the self-product $$S^m$$ S m for $$m>p_g(S)$$ m > p g ( S ) . We exhibit some surfaces with large $$p_g$$ p g that verify Voisin’s conjecture.

Research in the Mathematical Sciences > 2018 > 5 > 3 > 1-24

*X*and

*Y*that are deformation equivalent,

*L*-equivalent and derived equivalent, but not birational. To complete the picture, we show that

*X*and

*Y*have isomorphic Chow motives.

Mathematische Nachrichten > 291 > 7 > 1088 - 1113

*X*be a hyperkähler variety with an anti‐symplectic involution ι. According to Beauville's conjectural “splitting property”, the Chow groups of

*X*should split in a finite number of pieces such that the Chow ring has a bigrading. The Bloch–Beilinson conjectures predict how ι should act on certain of these pieces of the Chow groups. We verify part of this conjecture for a 19‐dimensional family of...

Ricerche di Matematica > 2018 > 67 > 2 > 401-411

Boletín de la Sociedad Matemática Mexicana > 2018 > 24 > 2 > 319-327

Results in Mathematics > 2017 > 72 > 1-2 > 595-616

manuscripta mathematica > 2018 > 156 > 1-2 > 117-125

*X*be a hyperkähler 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 certain subring (containing divisors and codimension 2 cycles) should inject into cohomology. We present some evidence for this conjecture.

Vietnam Journal of Mathematics > 2018 > 46 > 3 > 453-470

*X*be a hyperkähler variety, and let

*G*be a group of finite order non-symplectic automorphisms of

*X*. Beauville’s conjectural splitting property predicts that each Chow group of

*X*should split in a finite number of pieces. The Bloch–Beilinson conjectures predict how

*G*should act on these pieces of the Chow groups: certain pieces should be invariant under

*G*, while certain other pieces should not...

Acta Mathematica Sinica, English Series > 2017 > 33 > 7 > 887-898

*X*in the family has an involution such that the induced involution on the Fano variety

*F*of lines in

*X*is symplectic and has a

*K*3 surface

*S*in the fixed locus. The main result establishes a relation between

*X*and

*S*on the level of Chow motives. As...

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg > 2017 > 87 > 1 > 135-144

Annales mathématiques du Québec > 2017 > 41 > 1 > 141-154

*X*be a smooth cubic hypersurface, and let

*F*be the Fano variety of lines on

*X*. We establish a relation between the Chow motives of

*X*and

*F*. This relation implies in particular that if

*X*has finite-dimensional motive (in the sense of Kimura), then

*F*also has finite-dimensional motive. This proves finite-dimensionality for motives of Fano varieties of cubics of dimension 3 and 5, and of certain...

ANNALI DELL'UNIVERSITA' DI FERRARA > 2017 > 63 > 2 > 315-321

Geometriae Dedicata > 2017 > 187 > 1 > 123-135

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry > 2016 > 57 > 4 > 723-734

Rendiconti del Circolo Matematico di Palermo Series 00002 > 2016 > 65 > 2 > 333-344

Monatshefte für Mathematik > 2016 > 180 > 3 > 563-577

Annali di Matematica Pura ed Applicata ( 01923 -) > 2016 > 195 > 4 > 1383-1392