Holomorphic Morse inequalities and asymptotic cohomology groups: a tribute to Bernhard Riemann

Details Holomorphic Morse inequalities and asymptotic cohomology groups: a tribute to Bernhard Riemann Holomorphic Morse inequalities and asymptotic cohomology groups: a tribute to Bernhard Riemann

2010-03-26

arxiv.org/abs/1003.5067v1

Riemann International School of Mathematics: Advances in Number Theory and Geometry, Verbania : Italy (2009)

Mathematics

Complex Variables

Scientific paper

The goal of this note is to present the potential relationships between certain Monge-Amp\`ere integrals appearing in holomorphic Morse inequalities, and asymptotic cohomology estimates for tensor powers of line bundles, as recently introduced by algebraic geometers. The expected most general statements are still conjectural and owe a debt to Riemann's pioneering work, which led to the concept of Hilbert polynomials and to the Hirzebruch-Riemann-Roch formula during the XX-th century.

Affiliated with

Also associated with

No associations

Rating

Holomorphic Morse inequalities and asymptotic cohomology groups: a tribute to Bernhard Riemann 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 Holomorphic Morse inequalities and asymptotic cohomology groups: a tribute to Bernhard Riemann, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Holomorphic Morse inequalities and asymptotic cohomology groups: a tribute to Bernhard Riemann will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-182089