Add to ORKGWe prove that the invariant locus of the involution associated to a general double EPW sextic is a constant surface and introduce a filtration on $\CH_1$ of a Gushel-Mukai fourfold. We verify the sheaf/cycle correspondence for sheaves supported on low degree rational curves, parallel to the cubic fourfolds case.Comment: Many typos changed. Accepted by SCIENCE CHINA Mathematic
10 pages, to appear in Comment. Math. Univ. St. Pauli, comments welcome !International audienceThis ...
Let $X$ be the product of a surface satisfying $b_2=\rho$ and of a curve overa finite field. We stud...
Fargues and Scholze proved the geometric Satake equivalence over the Fargues--Fontaine curve. On the...
The surface of lines in a cubic fourfold intersecting a fixed line splitsmotivically into two parts,...
This is loosely a continuation of the author's previous paper arXiv:1802.09496. In the first part, g...
Every fibration of a projective hyper-K\"ahler fourfold has fibers which areAbelian surfaces. In cas...
We prove a blow-up formula for the generating series of virtual $\chi_y$-genera for moduli spaces of...
We prove that the Beauville-Voisin conjecture is true for any double EPW sextic, i.e. the subalgebra...
We prove that the Beauville-Voisin conjecture is true for any double EPW sextic, i.e. the subalgebra...
In positive characteristic, in contrast to the complex analytic case, vanishing cycles are highly se...
The secant variety of the Veronese surface is a singular cubic fourfold. The degeneration of Hodge s...
We introduce a new class of Hodge cycles with non-reduced associated Hodge loci, we call them fake l...
The surface of lines in a cubic fourfold intersecting a fixed line splits motivically into two parts...
We examine the proposal made recently that the su(3) modular invariant partition functions could be ...
Fix a Calabi-Yau 3-fold $X$ satisfying the Bogomolov-Gieseker conjecture of Bayer-Macr\`i-Toda, such...
10 pages, to appear in Comment. Math. Univ. St. Pauli, comments welcome !International audienceThis ...
Let $X$ be the product of a surface satisfying $b_2=\rho$ and of a curve overa finite field. We stud...
Fargues and Scholze proved the geometric Satake equivalence over the Fargues--Fontaine curve. On the...
The surface of lines in a cubic fourfold intersecting a fixed line splitsmotivically into two parts,...
This is loosely a continuation of the author's previous paper arXiv:1802.09496. In the first part, g...
Every fibration of a projective hyper-K\"ahler fourfold has fibers which areAbelian surfaces. In cas...
We prove a blow-up formula for the generating series of virtual $\chi_y$-genera for moduli spaces of...
We prove that the Beauville-Voisin conjecture is true for any double EPW sextic, i.e. the subalgebra...
We prove that the Beauville-Voisin conjecture is true for any double EPW sextic, i.e. the subalgebra...
In positive characteristic, in contrast to the complex analytic case, vanishing cycles are highly se...
The secant variety of the Veronese surface is a singular cubic fourfold. The degeneration of Hodge s...
We introduce a new class of Hodge cycles with non-reduced associated Hodge loci, we call them fake l...
The surface of lines in a cubic fourfold intersecting a fixed line splits motivically into two parts...
We examine the proposal made recently that the su(3) modular invariant partition functions could be ...
Fix a Calabi-Yau 3-fold $X$ satisfying the Bogomolov-Gieseker conjecture of Bayer-Macr\`i-Toda, such...
10 pages, to appear in Comment. Math. Univ. St. Pauli, comments welcome !International audienceThis ...
Let $X$ be the product of a surface satisfying $b_2=\rho$ and of a curve overa finite field. We stud...
Fargues and Scholze proved the geometric Satake equivalence over the Fargues--Fontaine curve. On the...