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Canonical syzygies of smooth curves on toric surfaces.
- Source :
-
Journal of Pure & Applied Algebra . Feb2020, Vol. 224 Issue 2, p507-527. 21p. - Publication Year :
- 2020
-
Abstract
- In a first part of this paper, we prove constancy of the canonical graded Betti table among the smooth curves in linear systems on Gorenstein weak Fano toric surfaces. In a second part, we show that Green's canonical syzygy conjecture holds for all smooth curves of genus at most 32 or Clifford index at most 6 on arbitrary toric surfaces. Conversely we use known results on Green's conjecture (due to Lelli-Chiesa) to obtain new facts about graded Betti tables of projectively embedded toric surfaces. [ABSTRACT FROM AUTHOR]
- Subjects :
- *TORIC varieties
*CURVES
*LINEAR systems
*ALGEBRAIC curves
*LOGICAL prediction
Subjects
Details
- Language :
- English
- ISSN :
- 00224049
- Volume :
- 224
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Pure & Applied Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 137853847
- Full Text :
- https://doi.org/10.1016/j.jpaa.2019.05.018