Mapping toric varieties into low dimensional spaces

@article{Dufresne2016MappingTV,
  title={Mapping toric varieties into low dimensional spaces},
  author={E. Dufresne and J. Jeffries},
  journal={arXiv: Commutative Algebra},
  year={2016}
}
  • E. Dufresne, J. Jeffries
  • Published 2016
  • Mathematics
  • arXiv: Commutative Algebra
  • A smooth $d$-dimensional projective variety $X$ can always be embedded into $2d+1$-dimensional space. In contrast, a singular variety may require an arbitrary large ambient space. If we relax our requirement and ask only that the map is injective, then any $d$-dimensional projective variety can be mapped injectively to $2d+1$-dimensional projective space. A natural question then arises: what is the minimal $m$ such that a projective variety can be mapped injectively to $m$-dimensional… CONTINUE READING
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