Nested varieties of K3 type
M Bernardara, E Fatighenti, L Manivel - Journal de l'École …, 2021 - numdam.org
In this paper, we study and relate Calabi-Yau subHodge structures of Fano subvarieties of
different Grassmannians. In particular, we construct isomorphisms between Calabi-Yau …
different Grassmannians. In particular, we construct isomorphisms between Calabi-Yau …
Derived categories of Quot schemes of locally free quotients
Q Jiang - arXiv preprint arXiv:2107.09193, 2021 - arxiv.org
This paper studies the derived category of the Quot scheme of rank $ d $ locally free
quotients of a sheaf $\mathscr {G} $ of homological dimension $\le 1$ over a scheme $ X …
quotients of a sheaf $\mathscr {G} $ of homological dimension $\le 1$ over a scheme $ X …
Categorical and K-theoretic Donaldson–Thomas theory of (part II)
T Pădurariu, Y Toda - Forum of Mathematics, Sigma, 2023 - cambridge.org
Quasi-BPS categories appear as summands in semiorthogonal decompositions of DT
categories for Hilbert schemes of points in the three-dimensional affine space and in the …
categories for Hilbert schemes of points in the three-dimensional affine space and in the …
On the Chow theory of projectivizations
Q Jiang - Journal of the Institute of Mathematics of Jussieu, 2023 - cambridge.org
In this paper, we prove a decomposition result for the Chow groups of projectivizations of
coherent sheaves of homological dimension. In this process, we establish the …
coherent sheaves of homological dimension. In this process, we establish the …
Derived projectivizations of complexes
Q Jiang - arXiv preprint arXiv:2202.11636, 2022 - arxiv.org
In this paper, we study the counterpart of Grothendieck's projectivization construction in the
context of derived algebraic geometry. Our main results are as follows: First, we define the …
context of derived algebraic geometry. Our main results are as follows: First, we define the …
Categorical Plücker formula and homological projective duality
Q Jiang, NC Leung, Y Xie - Journal of the European Mathematical …, 2021 - ems.press
Kuznetsov's homological projective duality (HPD) theory [K4] is one of the most active and
powerful recent developments in the homological study of algebraic geometry. The …
powerful recent developments in the homological study of algebraic geometry. The …
On nonexistence of semi-orthogonal decompositions in algebraic geometry
X Lin - arXiv preprint arXiv:2107.09564, 2021 - arxiv.org
The nonexistence of semi-orthogonal decompositions in algebraic geometry is known to be
governed by the base locus of the canonical bundle. We study another locus, namely the …
governed by the base locus of the canonical bundle. We study another locus, namely the …
Derived categories of derived Grassmannians
Q Jiang - arXiv preprint arXiv:2307.02456, 2023 - arxiv.org
This paper establishes semiorthogonal decompositions for derived Grassmannians of
perfect complexes with Tor-amplitude in $[0, 1] $. This result verifies the author's Quot …
perfect complexes with Tor-amplitude in $[0, 1] $. This result verifies the author's Quot …
Derived Grassmannians and derived Schur functors
Q Jiang - arXiv preprint arXiv:2212.10488, 2022 - arxiv.org
This paper develops two theories, the geometric theory of derived Grassmannians (and flag
schemes) and the algebraic theory of derived Schur (and Weyl) functors, and establishes …
schemes) and the algebraic theory of derived Schur (and Weyl) functors, and establishes …
Derived categories of Quot schemes of locally free quotients via categorified Hall products
Y Toda - arXiv preprint arXiv:2110.02469, 2021 - arxiv.org
arXiv:2110.02469v4 [math.AG] 21 Nov 2022 Page 1 arXiv:2110.02469v4 [math.AG] 21 Nov
2022 DERIVED CATEGORIES OF QUOT SCHEMES OF LOCALLY FREE QUOTIENTS VIA …
2022 DERIVED CATEGORIES OF QUOT SCHEMES OF LOCALLY FREE QUOTIENTS VIA …