A categorical proof of the Parshin reciprocity laws on algebraic surfaces

Details A categorical proof of the Parshin reciprocity laws on algebraic surfaces A categorical proof of the Parshin reciprocity laws on algebraic surfaces

2010-02-25

arxiv.org/abs/1002.4848v3

Algebra & Number Theory, 5:3 (2011), pp. 289-337

Mathematics

Algebraic Geometry

41 pages; final version, to appear in Algebra & Number Theory

Scientific paper

10.2140/ant.2011.5.289

We define and study the 2-category of torsors over a Picard groupoid, a
central extension of a group by a Picard groupoid, and commutator maps in this
central extension. Using it in the context of two-dimensional local fields and
two-dimensional adelic theory we obtain the two-dimensional tame symbol and a
new proof of Parshin reciprocity laws on an algebraic surface.

Affiliated with

Also associated with

No associations

Rating

A categorical proof of the Parshin reciprocity laws on 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 A categorical proof of the Parshin reciprocity laws on algebraic surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A categorical proof of the Parshin reciprocity laws on algebraic surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-380525