What is missing in canonical models for proper normal algebraic surfaces?

Details What is missing in canonical models for proper normal algebraic surfaces? What is missing in canonical models for proper normal algebraic surfaces?

2000-08-27

arxiv.org/abs/math/0008203v2

Abh. Math. Sem. Univ. Hamburg 71 (2001), 257-268.

Mathematics

Algebraic Geometry

10 pages, minor changes, to appear in Abh. Math. Sem. Univ. Hamburg

Scientific paper

Smooth surfaces have finitely generated canonical rings and projective canonical models. For normal surfaces, however, the graded ring of multicanonical sections is possibly nonnoetherian, such that the corresponding homogeneous spectrum is noncompact. I construct a canonical compactification by adding finitely many non-Q-Gorenstein points at infinity, provided that each Weil divisor is numerically equivalent to a Q-Cartier divisor. Similar results hold for arbitrary Weil divisors instead of the canonical class.

Affiliated with

Also associated with

No associations

Rating

What is missing in canonical models for proper normal algebraic surfaces? 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 What is missing in canonical models for proper normal algebraic surfaces?, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and What is missing in canonical models for proper normal algebraic surfaces? will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-100646