A Batyrev type classification of ℚ-factorial projective toric varieties
-
Michele Rossi
and
Lea Terracini
Abstract
The present paper generalizes, inside the class of projective toric varieties, the classification [2], performed by Batyrev in 1991 for smooth complete toric varieties, to the singular ℚ-factorial case.
Acknowledgements
We would like to thank Cinzia Casagrande for helpful conversations and suggestions. We are also indebt with Brian Lehmann who pointed out to us the reference [12]. Last but not least we thank Daniela Caldini for her invaluable contribution in making the figures of the present paper.
Funding: The authors were partially supported by the MIUR-PRIN 2010-11 Research Funds “Geometria delle Varietà Algebriche”. The first author is also supported by the I.N.D.A.M. as a member of the G.N.S.A.G.A.
Communicated by: M. Joswig
References
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© 2019 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- A Batyrev type classification of ℚ-factorial projective toric varieties
- Blocking sets of certain line sets related to a hyperbolic quadric in PG(3, q)
- Affine-compact functors
- Limit points of the branch locus of 𝓜g
- Criteria for strict monotonicity of the mixed volume of convex polytopes
- Principal curvatures and parallel surfaces of wave fronts
- Nodal curves with a contact-conic and Zariski pairs
- Corrigendum to the paper “On surfaces with two apparent double points”
Articles in the same Issue
- Frontmatter
- A Batyrev type classification of ℚ-factorial projective toric varieties
- Blocking sets of certain line sets related to a hyperbolic quadric in PG(3, q)
- Affine-compact functors
- Limit points of the branch locus of 𝓜g
- Criteria for strict monotonicity of the mixed volume of convex polytopes
- Principal curvatures and parallel surfaces of wave fronts
- Nodal curves with a contact-conic and Zariski pairs
- Corrigendum to the paper “On surfaces with two apparent double points”
