Stable varieties with a twist

Details Stable varieties with a twist Stable varieties with a twist

2009-04-17

arxiv.org/abs/0904.2797v1

Mathematics

Algebraic Geometry

31 pages

Scientific paper

We describe a new approach to the definition of the moduli functor of stable varieties. While there is wide agreement as to what classes of varieties should appear, the notion of a family of stable surfaces is quite subtle, as key numerical invariants may fail to be constant in flat families. Our approach is to add natural stack structure to stable varieties. For example, given a canonical model we take the global-quotient stack structure arising from its realization as Proj of the canonical ring. Deformations of the stack structure preserve key numerical invariants of the stable variety, including the top self-intersection of the canonical divisor. This approach yields a transparent construction of the moduli stack of stable varieties as a global quotient of a suitable Hilbert scheme of weighted projective stacks.

Affiliated with

Also associated with

No associations

Rating

Stable varieties with a twist 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 Stable varieties with a twist, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stable varieties with a twist will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-545482