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On the Zariski–Lipman Conjecture for normal algebraic surfaces
Author(s) -
Biswas Indranil,
Gurjar R. V.,
Kolte Sagar U.
Publication year - 2014
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/jdu021
Subject(s) - conjecture , algebraic number , mathematics , affine transformation , algebraic surface , pure mathematics , algebraic cycle , algebra over a field , mathematical analysis
We consider the Zariski–Lipman Conjecture on a free module of derivations for algebraic surfaces. Using the theory of non‐complete algebraic surfaces, and some basic results about ruled surfaces, we will prove the conjecture for several classes of affine and projective surfaces.

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