On Some Deformations of Riemann Surfaces. I | Zendy

Ryszard L. Rubinsztein | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

On Some Deformations of Riemann Surfaces. I

Author(s) -

Ryszard L. Rubinsztein

Publication year - 2000

Publication title -

mathematica scandinavica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.553

H-Index - 30

eISSN - 1903-1807

pISSN - 0025-5521

DOI - 10.7146/math.scand.a-14288

Subject(s) - mathematics , infinitesimal , riemann surface , cohomology , pure mathematics , genus , riemann–hurwitz formula , riemann hypothesis , representation (politics) , riemann sphere , series (stratigraphy) , mathematical analysis , compact riemann surface , geometric function theory , paleontology , botany , politics , political science , law , biology

We define a family of infinitesimal deformations of compact Riemann surfaces of genus $g > 2$ which generalizes the Fenchel-Nielsen deformations. Those new deformations are associated to smooth vector fields on the circle. We compute a representation of the deformations in terms of Poincaré series and determine the corresponding Eichler cohomology classes.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research