A Semi-orthogonal Sequence in the Derived Category of the Hilbert Scheme of Three Points

E Nikolov - arXiv preprint arXiv:2404.12851, 2024 - arxiv.org
For a smooth projective variety $ X $ of dimension $ d\geq 5$ over an algebraically closed
field $ k $ of characteristic zero, it is shown in this paper that the bounded derived category …

-functors

R Anno, T Logvinenko - arXiv preprint arXiv:1905.05740, 2019 - arxiv.org
We propose a new theory of (non-split) P^ n-functors. These are F: A-> B for which the
adjunction monad RF is a repeated extension of Id_A by powers of an autoequivalence H …

On uniqueness of P-twists

R Anno, T Logvinenko - arXiv preprint arXiv:1711.06649, 2017 - arxiv.org
We prove that for any $\mathbb {P}^ n $-functor all the convolutions (double cones) of the
three-term complex $ FHR\xrightarrow {\psi} FR\xrightarrow {tr} Id $ defining its $\mathbb {P} …

Hochschild cohomology and deformations of -functors

C Meachan, T Raedschelders - arXiv preprint arXiv:1909.07758, 2019 - arxiv.org
Given a split $\mathbb {P} $-functor $ F:\mathcal {D}^ b (X)\to\mathcal {D}^ b (Y) $ between
smooth projective varieties, we provide necessary and sufficient conditions, in terms of the …

On Uniqueness of ℙ-Twists

R Anno, T Logvinenko - International Mathematics Research …, 2022 - academic.oup.com
On Uniqueness of ℙ-Twists | International Mathematics Research Notices | Oxford
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