Regularity on abelian varieties II: Basic results on linear series and defining equations
From MaRDI portal
Publication:4467325
DOI10.1090/S1056-3911-03-00345-XzbMath1073.14061arXivmath/0110004MaRDI QIDQ4467325
Giuseppe Pareschi, Mihnea Popa
Publication date: 9 June 2004
Published in: Journal of Algebraic Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0110004
Theta functions and abelian varieties (14K25) Divisors, linear systems, invertible sheaves (14C20) Subvarieties of abelian varieties (14K12) Algebraic theory of abelian varieties (14K05)
Related Items (14)
Critical \(k\)-very ampleness for abelian surfaces ⋮ On the bicanonical map of irregular varieties ⋮ Regularity on abelian varieties I ⋮ On \(k\)-jet ampleness of line bundles on hyperelliptic surfaces ⋮ M-regularity of ℚ-twisted sheaves and its application to linear systems on abelian varieties ⋮ Continuous CM-regularity and generic vanishing. With an appendix by Atsushi Ito (Okayama University) ⋮ Maps from Feigin and Odesskii's elliptic algebras to twisted homogeneous coordinate rings ⋮ Index conditions and cup-product maps on Abelian varieties ⋮ On the vanishing of weight one Koszul cohomology of abelian varieties ⋮ The space of stability conditions on abelian threefolds, and on some Calabi-Yau threefolds ⋮ Embedding theorems on hyperelliptic varieties ⋮ Wedderburn components, the index theorem and continuous Castelnuovo-Mumford regularity for semihomogeneous vector bundles ⋮ The basepoint-freeness threshold and syzygies of abelian varieties ⋮ Relative Clifford inequality for varieties fibered by curves
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Abelian surfaces of type \((1,4)\)
- Koszul cohomology and the geometry of projective varieties. Appendix: The nonvanishing of certain Koszul cohomology groups (by Mark Green and Robert Lazarsfeld)
- A note on the normal generation of ample line bundles on abelian varieties
- On the projective normality of complete linear series on an algebraic curve
- Some remarks on ample line bundles on abelian varieties
- Complex abelian varieties and theta functions
- On the normal generation by a line bundle on an Abelian variety
- Higher order embeddings of abelian varieties
- Lengths of periods and Seshadri constants of abelian varieties
- On the equations defining Abelian varieties. I-III
- Duality between D(X) and with its application to picard sheaves
- Linear Systems on Abelian Varieties
- Theta Relations and Projective Normality of Abelian Varieties
- Syzygies of abelian varieties
- Varieties Defined by Quadratic Equations
This page was built for publication: Regularity on abelian varieties II: Basic results on linear series and defining equations