ﻻ يوجد ملخص باللغة العربية
In this note, we generalize the linear duality between vector subbundles (or equivalently quotient bundles) of dual vector bundles to coherent quotients $V twoheadrightarrow mathscr{L}$ considered in arXiv:1811.12525, in the framework of Kuznetsovs homological projective duality (HPD). As an application, we obtain a generalized version of the fundamental theorem of HPD for the $mathbb{P}(mathscr{L})$-sections and the respective dual sections of a given HPD pair.
In this paper, we first show a projectivization formula for the derived category $D^b_{rm coh} (mathbb{P}(mathcal{E}))$, where $mathcal{E}$ is a coherent sheaf on a regular scheme which locally admits two-step resolutions. Second, we show that flop-f
We give an exposition and generalization of Orlovs theorem on graded Gorenstein rings. We show the theorem holds for non-negatively graded rings which are Gorenstein in an appropriate sense and whose degree zero component is an arbitrary non-commutat
We state a conjecture that relates the derived category of smooth representations of a p-adic split reductive group with the derived category of (quasi-)coherent sheaves on a stack of L-parameters. We investigate the conjecture in the case of the pri
In this short paper we outline (mostly without proofs) our new approach to the derived category of sheaves of commutative DG rings. The proofs will appear in a subsequent paper. Among other things, we explain how to form the derived intersection of
For a nonsingular projective 3-fold $X$, we define integer invariants virtually enumerating pairs $(C,D)$ where $Csubset X$ is an embedded curve and $Dsubset C$ is a divisor. A virtual class is constructed on the associated moduli space by viewing a