The surface of lines in a cubic fourfold intersecting a fixed line splits motivically into two parts, one of which resembles a K3 surface. We define the analogue of the Beauville-Voisin class and study the push-forward map to the Fano variety of all lines with respect to the natural splitting of the Bloch-Beilinson filtration introduced by Mingmin Shen and Charles Vial.Comment: 15 page
We prove that the Fano variety of lines of a cuspidal cyclic cubic fourfold is a symplectic variety ...
This thesis investigates cubic hypersurfaces and their Fano schemes. After introducing the Fano sche...
For a moduli space $M$ of stable sheaves over a $K3$ surface $X$, we propose a series of conjectural...
The surface of lines in a cubic fourfold intersecting a fixed line splitsmotivically into two parts,...
We study the Brill-Noether theory of curves on K3 surfaces that are Hodge theoretically associated t...
This note is about Pl\"ucker hyperplane sections $X$ of the Grassmannian $\operatorname{Gr}(3,V_{10}...
13 pages, to appear in Acta Math. Sinica, comments still welcomeInternational audienceThis note is a...
We prove that the space of pairs $(X,l)$ formed by a real non-singular cubic hypersurface $X\subset ...
We show that for a general cubic fourfold $X$ containing a plane $P$, the Mukai flop of its Fano var...
© 2019, Institute for Mathematical Sciences (IMS), Stony Brook University, NY. We prove that the spa...
This note presents some properties of the variety of planes $F_2(X)\subset G(3,7)$ of a cubic $5$-fo...
In this note we propose an approach to some questions about the birational geometry of smooth cubic ...
International audienceWe obtain a "generalized Franchetta conjecture" type of statement for the Hilb...
We prove that the Chow motives of two smooth cubic fourfolds whose Kuznetsov components are Fourier-...
We provide three 3-dimensional characterizations of the Z-slice genus of a knot, the minimal genus o...
We prove that the Fano variety of lines of a cuspidal cyclic cubic fourfold is a symplectic variety ...
This thesis investigates cubic hypersurfaces and their Fano schemes. After introducing the Fano sche...
For a moduli space $M$ of stable sheaves over a $K3$ surface $X$, we propose a series of conjectural...
The surface of lines in a cubic fourfold intersecting a fixed line splitsmotivically into two parts,...
We study the Brill-Noether theory of curves on K3 surfaces that are Hodge theoretically associated t...
This note is about Pl\"ucker hyperplane sections $X$ of the Grassmannian $\operatorname{Gr}(3,V_{10}...
13 pages, to appear in Acta Math. Sinica, comments still welcomeInternational audienceThis note is a...
We prove that the space of pairs $(X,l)$ formed by a real non-singular cubic hypersurface $X\subset ...
We show that for a general cubic fourfold $X$ containing a plane $P$, the Mukai flop of its Fano var...
© 2019, Institute for Mathematical Sciences (IMS), Stony Brook University, NY. We prove that the spa...
This note presents some properties of the variety of planes $F_2(X)\subset G(3,7)$ of a cubic $5$-fo...
In this note we propose an approach to some questions about the birational geometry of smooth cubic ...
International audienceWe obtain a "generalized Franchetta conjecture" type of statement for the Hilb...
We prove that the Chow motives of two smooth cubic fourfolds whose Kuznetsov components are Fourier-...
We provide three 3-dimensional characterizations of the Z-slice genus of a knot, the minimal genus o...
We prove that the Fano variety of lines of a cuspidal cyclic cubic fourfold is a symplectic variety ...
This thesis investigates cubic hypersurfaces and their Fano schemes. After introducing the Fano sche...
For a moduli space $M$ of stable sheaves over a $K3$ surface $X$, we propose a series of conjectural...
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