Regularity on abelian varieties I
From MaRDI portal
Publication:4794622
DOI10.1090/S0894-0347-02-00414-9zbMath1022.14012arXivmath/0110003OpenAlexW2140993073MaRDI QIDQ4794622
Giuseppe Pareschi, Mihnea Popa
Publication date: 19 February 2003
Published in: Journal of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0110003
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (44)
Critical \(k\)-very ampleness for abelian surfaces ⋮ Fully faithful Fourier-Mukai functors and generic vanishing ⋮ Effective very ampleness for generalized theta divisors ⋮ On the bicanonical map of irregular varieties ⋮ \(M\)-regularity of the Fano surface ⋮ MINIMAL CLASSES ON THE INTERMEDIATE JACOBIAN OF A GENERIC CUBIC THREEFOLD ⋮ Characterization of products of theta divisors ⋮ THE HYPERELLIPTIC THETA MAP AND OSCULATING PROJECTIONS ⋮ Generic vanishing index and the birationality of the bicanonical map of irregular varieties ⋮ M-regularity of ℚ-twisted sheaves and its application to linear systems on abelian varieties ⋮ Continuous CM-regularity of semihomogeneous vector bundles ⋮ Frobenius stable pluricanonical systems on threefolds of general type in positive characteristic ⋮ Continuous CM-regularity and generic vanishing. With an appendix by Atsushi Ito (Okayama University) ⋮ On varieties of maximal Albanese dimension ⋮ Positivity in varieties of maximal Albanese dimension ⋮ Generic vanishing and classification of irregular surfaces in positive characteristics ⋮ On the tetracanonical map of varieties of general type and maximal Albanese dimension ⋮ Local positivity, multiplier ideals, and syzygies of abelian varieties ⋮ Weighted Castelnuovo–Mumford regularity and weighted global generation ⋮ Abundance for 3-folds with non-trivial Albanese maps in positive characteristic ⋮ On Severi type inequalities ⋮ Generic vanishing and minimal cohomology classes on abelian varieties ⋮ On 3-canonical maps of varieties of Albanese fiber dimension one ⋮ Torsion points on theta divisors and semihomogeneous vector bundles ⋮ Generic vanishing and minimal cohomology classes on abelian fivefolds ⋮ Index conditions and cup-product maps on Abelian varieties ⋮ Deforming curves in Jacobians to non-Jacobians. I: Curves in \(C^{(2)}\) ⋮ A note on the effective non-vanishing conjecture ⋮ Pluricanonical maps of varieties of Albanese fiber dimension two ⋮ On the vanishing of weight one Koszul cohomology of abelian varieties ⋮ Castelnuovo theory and the geometric Schottky problem ⋮ The space of stability conditions on abelian threefolds, and on some Calabi-Yau threefolds ⋮ Embedding theorems on hyperelliptic varieties ⋮ Pushforwards of klt pairs under morphisms to abelian varieties ⋮ Wedderburn components, the index theorem and continuous Castelnuovo-Mumford regularity for semihomogeneous vector bundles ⋮ Cohomological support loci of varieties of Albanese fiber dimension one ⋮ Pushforwards of pluricanonical bundles under morphisms to abelian varieties ⋮ A structure theorem for 𝒮𝒰_{𝒞}(2) and the moduli of pointed rational curves ⋮ Generalized Clifford-Severi inequality and the volume of irregular varieties ⋮ Automorphisms of surfaces of general type with acting trivially in cohomology ⋮ On coverings of simple abelian varieties ⋮ Relative Clifford inequality for varieties fibered by curves ⋮ Cohomological rank functions and syzygies of abelian varieties ⋮ Hodge modules on complex tori and generic vanishing for compact Kähler manifolds
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A note on the normal generation of ample line bundles on abelian varieties
- Higher direct images of dualizing sheaves. I
- A sharp Castelnuovo bound for smooth surfaces
- Deformation theory, generic vanishing theorems, and some conjectures of Enriques, Catanese and Beauville
- Complex abelian varieties and theta functions
- On the geometry of a theorem of Riemann
- On the equations defining Abelian varieties. I-III
- Duality between D(X) and with its application to picard sheaves
- Vanishing Theorems, A Theorem of Severi, and the Equations Defining Projective Varieties
- Heisenberg invariant quartics and C (2) for a curve of genus four
- Regularity on abelian varieties II: Basic results on linear series and defining equations
- What can be computed in algebraic geometry?
- Syzygies of abelian varieties
- Lectures on Curves on an Algebraic Surface. (AM-59)
- On effective non-vanishing and base-point-freeness.
This page was built for publication: Regularity on abelian varieties I