Theta functions on varieties with effective anti-canonical class
We show that a large class of maximally degenerating families of n-dimensional polarized varieties comes with a canonical basis of sections of powers of the ample line bundle. The families considered are obtained by smoothing a reducible union of toric varieties governed by a wall structure on a rea...
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Auteurs principaux : | , , |
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Format : | Livre |
Langue : | anglais |
Titre complet : | Theta functions on varieties with effective anti-canonical class / Mark Gross, Paul Hacking, Bernd Siebert |
Publié : |
Providence (R.I.) :
American Mathematical Society
, C 2022 |
Description matérielle : | 1 vol. (xii-103 p.) |
Collection : | Memoirs of the American Mathematical Society ; 1367 |
Sujets : |
- Introduction
- Chapter 1. The affine geometry of the construction
- Chapter 2. Wall structures
- Chapter 3. Broken lines and canonical global functions
- Chapter 4. The projective case
- - theta functions
- Chapter 5. Additional parameters
- Chapter 6. Abelian varieties and other examples
- Appendix A. The GS case
- Bibliography