Paracanonical base locus, Albanese morphism, and semi-orthogonal indecomposability of derived categories

Vanishing theorems in algebraic geometry (14F17) Divisors, linear systems, invertible sheaves (14C20) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Cites Work

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Brill-Noether loci for divisors on irregular varieties
Semi-orthogonal decomposability of the derived category of a curve
Pushforwards of pluricanonical bundles under morphisms to abelian varieties
M-regularity and the Fourier-Mukai transform
Relative algebraic reduction and relative Albanese map for a fiber space in C
Exceptional vector bundles on Enriques surfaces
\(D\)-equivalence and \(K\)-equivalence
Birational geometry and derived categories
Positivity in varieties of maximal Albanese dimension
Semiorthogonal decompositions of stable pair moduli spaces via d-critical flips
Semi-orthogonal decomposition of symmetric products of curves and canonical system
Derived categories of projectivizations and flops
Chen-Jiang decompositions for projective varieties, without Hodge modules
On Severi type inequalities
Hodge modules on complex tori and generic vanishing for compact Kähler manifolds
Jacobians and symmetric products
Derived invariance of the Albanese relative canonical ring
On the bicanonical map of irregular varieties
Characterization of products of theta divisors
Regularity on abelian varieties III: relationship with Generic Vanishing and applications
Algebraic Families on an Algebraic Surface, II, the Picard Scheme of the Punctual Hilbert Scheme
The Albanese Mapping for a Punctual Hilbert Scheme: I. Irreducibility of the Fibers
Equivalences of Triangulated Categories and Fourier-Mukai Transforms
The Albanese Mapping for a Punctual Hilbert Scheme: II. Symmetrized Differentials and Singularities
Regularity on abelian varieties I
A derived category approach to generic vanishing
Derived invariants arising from the Albanese map
Semiorthogonal decompositions in algebraic geometry
Algebraic Families on an Algebraic Surface
Derived categories of (nested) Hilbert schemes

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