On a special class of simplicial toric varieties

Details On a special class of simplicial toric varieties On a special class of simplicial toric varieties

2006-01-27

arxiv.org/abs/math/0601668v1

Journal of Algebra 308 (2007), 368-382

Mathematics

Algebraic Geometry

Scientific paper

10.1016/j.jalgebra.2006.04.031

We show that for all $n\geq 3$ and all primes $p$ there are infinitely many simplicial toric varieties of codimension $n$ in the $2n$-dimensional affine space whose minimum number of defining equations is equal to $n$ in characteristic $p$, and lies between $2n-2$ and $2n$ in all other characteristics. In particular, these are new examples of varieties which are set-theoretic complete intersections only in one positive characteristic.\newline Moreover, we show that the minimum number of binomial equations which define these varieties in all characteristics is 4 for $n=3$ and $2n-2+{n-2\choose 2}$ whenever $n\geq 4$.

Affiliated with

Also associated with

No associations

Rating

On a special class of simplicial toric varieties does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On a special class of simplicial toric varieties, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On a special class of simplicial toric varieties will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-506154